EXHIBIT 99.10

                         REGISTRATION RIGHTS AGREEMENT


          REGISTRATION RIGHTS AGREEMENT, dated as of April 8, 1999, among the
investors listed on Schedule I hereto (collectively, the "Investor") and Four
Media Company, a Delaware corporation (the "Company").

                                R E C I T A L S
                                ---------------

          WHEREAS, the Investor has, pursuant to the terms of three separate
Stock Purchase Agreements, each dated as of January 18, 1999, by and between (i)
the Company and the Investor, (ii) Technical Services Partners, L.P. ("TSP") and
the Investor and (iii) certain of the Company's current stockholders and the
Investor (collectively, the "Purchase Agreements"), agreed to purchase a total
of 10,200,000 shares (the "Shares") of common stock, par value $0.01 per share,
of the Company (the "Common Stock") and a Warrant to purchase an additional
1,100,000 shares of Common Stock (the "Warrant Shares"); and

          WHEREAS, the Investor has, pursuant to the terms of a Voting and
Option Agreement, dated as of January 18, 1999, by and among the Investor, TSP
and the Company (the "Option Agreement"), been granted an irrevocable option to
purchase 1,432,875 shares of Common Stock (the "Option Shares"); and

          WHEREAS, the Company has agreed, as a condition precedent to the
Investor's obligations under the Purchase Agreements, to grant the Investor
certain registration rights with respect to the Shares, the Warrant Shares and
the Option Shares; and

          WHEREAS, the Company and the Investor desire to define the
registration rights of the Investor with respect to the Shares, the Warrant
Shares and the Option Shares on the terms and subject to the conditions herein
set forth.

          NOW, THEREFORE, in consideration of the foregoing premises and for
other good and valuable consideration, the parties hereby agree as follows:

          1.  DEFINITIONS
              -----------

          As used in this Agreement, the following terms have the respective
meanings set forth below:

          Commission: shall mean the Securities and Exchange Commission or any
          -----------   
other federal agency at the time administering the Securities Act; 

 
          Exchange Act: shall mean the Securities Exchange Act of 1934, as
          ------------                                                     
amended;

          Flemings Registration Rights Agreement: shall mean the Registration
          --------------------------------------                             
Rights Agreement, dated the date hereof, between the Company and Flemings (as
defined in the Purchase Agreements);

          Flemings Shares: shall mean the shares of Common Stock defined as
          ---------------                                                  
Registrable Securities in the Flemings Registration Rights Agreement, held at
any time by Flemings;

          Holder:  shall mean any holder of Registrable Securities;
          ------                                                   

          Initiating Holder:  shall mean any Holder or Holders who in the
          -----------------                                              
aggregate are Holders of more than 50% of the then outstanding Registrable
Securities;

          Person:  shall mean an individual, partnership, limited liability
          ------                                                           
company, joint-stock company, corporation, trust or unincorporated organization,
and a government or agency or political subdivision thereof;

          register, registered and registration: shall mean a registration
          --------  ----------     ------------ 
effected by preparing and filing a registration statement in compliance with the
Securities Act (and any post-effective amendments filed or required to be filed)
and the declaration or ordering of effectiveness of such registration statement;

          Registrable Securities:  shall mean (A) the Shares, the Warrant Shares
          ----------------------                                                
and the Option Shares, (B) any additional shares of Common Stock acquired by the
Investor and (C) any stock of the Company issued as a dividend or other
distribution with respect to, or in exchange for or in replacement of, the
Common Stock referred to in clause (A); provided, however, that the Common Stock
referred to in clauses (A) and (B) shall no longer be deemed Registrable
Securities upon the earliest of: (i) such time as a registration statement with
respect to such shares of Common Stock shall have been declared effective by the
Commission and all of the Registrable Securities registered thereunder shall
have been disposed of by the Holders in accordance with the plan of distribution
described in the prospectus forming a part of such effective registration
statement, (ii) the sale of all shares of Registrable Securities by the Holders
pursuant to Rule 144 under the Securities Act and (iii) the transfer of all
shares of Registrable Securities by the Holders to a transferee or transferees
who are not otherwise entitled to registration rights with respect to such
securities.

          Registration Expenses: shall mean all expenses incurred by the Company
          ----------------------
in compliance with Sections 2(a) and (b) hereof, including, without limitation,
all registration and filing fees, listing fees, printing expenses, fees and

                                       2

 
disbursements of counsel for the Company, fees and expenses of one counsel for
all the Holders in an amount not to exceed $15,000, blue sky fees and expenses
and the expense of any special audits incident to or required by any such
registration (but excluding the compensation of regular employees of the
Company, which shall be paid in any event by the Company);

          Security, Securities:  shall have the meaning set forth in Section
          --------------------                                              
2(1) of the Securities Act;

          Securities Act: shall mean the Securities Act of 1933, as amended; and
          ---------------          

          Selling Expenses:  shall mean all underwriting discounts and selling
          ----------------                                                    
commissions applicable to the sale of Registrable Securities, all fees and
disbursements of counsel for each of the Holders other than fees and expenses of
one counsel for all the Holders in an amount not to exceed $15,000 and all stock
transfer taxes related to the Registrable Securities.
 
          Walston Shares: shall mean (A) the 1,432,875 shares of Common Stock
          --------------                                                     
beneficially owned by Robert T. Walston pursuant to an agreement with Technical
Services Partners, L.P. and (B) any stock of the Company issued as a dividend or
other distribution with respect to, or in exchange for or in replacement of, the
Common Stock referred to in clause (A); provided, however, that the Common Stock
referred to in clauses (A) and (B) shall no longer be deemed Registrable
Securities upon the earliest of: (i) such time as a registration statement with
respect to such shares of Common Stock shall have been declared effective by the
Commission and all of the Registrable Securities registered thereunder shall
have been disposed of by the holder thereof in accordance with the plan of
distribution described in the prospectus forming a part of such effective
registration statement, (ii) the sale of all shares of Registrable Securities by
the holder thereof pursuant to Rule 144 under the Securities Act and (iii) the
transfer of all shares of Registrable Securities by the holder thereof to a
transferee or transferees who are not otherwise entitled to registration rights
with respect to such securities.


          2.  REGISTRATION RIGHTS
              -------------------

              (a)  Requested Registration.
                   ---------------------- 

              (i)  Request for Registration. If the Company shall receive from
                   ------------------------
     an Initiating Holder, at any time, a written request that the Company
     effect a registration under the Securities Act with respect to all or a
     part of the Registrable Securities, the Company will:

                   (A)  promptly give written notice of the proposed
          registration, qualification or compliance to 

                                       3

 
          all other Holders and the Other Stockholders (as hereinafter defined)
          in the event of an underwritten offering, such notice to provide, in
          the case of an underwritten offering, an opportunity for the holders
          of Flemings Shares to jointly exercise their request for registration
          rights with the Initiating Holder pursuant to Section 2(a)(i) of the
          Flemings Registration Rights Agreement; and

                   (B)  as soon as practicable, use its reasonable best efforts
          to effect such registration (including, without limitation, the
          execution of an undertaking to file post-effective amendments,
          appropriate qualification under applicable blue sky or other state
          securities laws and appropriate compliance with applicable regulations
          issued under the Securities Act) as may be so requested and as is
          reasonably necessary to permit or facilitate the sale and distribution
          of all or such portion of such Registrable Securities as are specified
          in such request, together with all or such portion of the Registrable
          Securities of any Holder or Holders joining in such request as are
          specified in a written request received by the Company within 10
          business days after written notice from the Company is given under
          Section 2(a)(i)(A) above; provided that the Company shall not be
                                    --------
          obligated to effect, or take any action to effect, any such
          registration pursuant to this Section 2(a):

                   (x)  In any particular jurisdiction in which the Company
            would be required to execute a general consent to service of process
            in effecting such registration, qualification or compliance, unless
            the Company is already subject to service in such jurisdiction and
            except as may be required by the Securities Act or applicable rules
            or regulations thereunder;

                   (y)  After the Company has effected three (3) such
            registrations (or, if the Purchase Agreements have been terminated
            for any reason but the Investor has elected to exercise its option
            to purchase the Option Shares pursuant to the Option Agreement,
            after the Company has effected two (2) such registrations) pursuant
            to this Section 2(a) and such registrations have been declared or
            ordered effective and have remained effective for a period ending on
            the earlier of (i) one hundred twenty (120) days after the date of
            such effectiveness and (2) the date on which the sales of such
            Registrable Securities shall have closed; provided, however, that in
            the event that sales of the securities consistent with the plan of
            distribution described in the prospectus forming a part of such
            effective 

                                       4

 
            registration statement are not been permitted by the
            Commission, or such sales would not be in accordance with the
            applicable rules and regulations of the Commission (as evidenced by
            written advice of counsel), at any time during such 120-day period,
            such 120-day period will be extended by such number of days during
            which such sales were not permitted or not in accordance with such
            applicable rules and regulations; or

                   (z)  If the Registrable Securities requested by all Holders
             to be registered pursuant to such request have an anticipated
             aggregate public offering price (before any underwriting discounts
             and commissions) of less than $15,000,000.

          The registration statement filed pursuant to the request of the
Initiating Holders may, subject to the provisions of Section 2(a)(ii) below,
include other securities of the Company which are held by Persons who, by virtue
of agreements with the Company, are entitled to include their securities in any
such registration, including without limitation the Walston Shares ("Other
Stockholders").

          The registration rights set forth in this Section 2 may be assigned,
in whole or in part, to any transferee of Registrable Securities (who shall be
bound by all obligations of this Agreement).

          The Initiating Holders may, at any time prior to the effective date of
the registration statement relating to any registration effected pursuant to
Section 2(a) of this Agreement, revoke such demand for registration by providing
written notice to the Company, in which event the Initiating Holders shall elect
either (i) that such request is deemed to be a request for registration under
this Section 2(a)(i) or (ii) that such request shall be deemed not to be a
request under this Section 2(a)(i) and, in the case of (ii) above, the
Initiating Holders, and not the Company, shall be responsible for any expenses
incurred by the Company in connection with such withdrawn registration
statement.

                 (ii)   Underwriting. If the Initiating Holders intend to
                        ------------
distribute the Registrable Securities covered by their request by means of an
underwriting, they shall so advise the Company as a part of their request made
pursuant to Section 2(a)(i)(A). If Other Stockholders request inclusion in such
underwritten offering, the Holders shall offer to include the securities of such
Other Stockholders in the underwriting on the same terms and conditions as the
Registrable Securities of the Holders (subject to the limitations on sale set
forth herein) and may condition such offer on their acceptance of the further
applicable provisions of this Section 2. The Holders whose shares are to be
included in such registration and the Company 

                                       5

 
shall (together with all Other Stockholders proposing to distribute their
securities through such underwriting) enter into an underwriting agreement in
customary form with the representative of the underwriter or underwriters
selected for such underwriting by the Initiating Holders and reasonably
acceptable to the Company. Notwithstanding any other provision of this Section
2(a), if the representative advises the Holders in writing that marketing
factors require a limitation on the number of shares to be underwritten, the
securities of the Company held by the Initiating Holder and each Other
Stockholder shall be excluded from such registration as follows: first,
securities held by each Other Stockholder (other than Flemings Shares and shares
subject to registration (the "Encore Shares") under that Registration Rights
                              -------------
Agreement dated as of September 15, 1998 (the "Other Registration Rights
                                               ------------------------- 
Agreement") between the Investors (as defined in the Other Registration Rights
- --------- 
Agreement) and the Company) to the minimum extent so required (which may be up
to 100% of such securities) by such limitation, such exclusion to be effected on
a pro rata basis (based on the number of shares requested for inclusion in such
registration by such Other Stockholders); and, second, to the extent that the
Company is advised that additional shares must also be excluded from such
registration, securities held by the holders of Flemings Shares and Encore
Shares shall be excluded from such registration to the minimum extent so
required (which may be up to 100% of such securities) by such limitation, such
exclusion to be effected on a pro rata basis (based on the number of shares
requested for inclusion in such registration by the holders of the Flemings
Shares and the holders of the Encore Shares), provided that if the holders of
                                              --------  
Flemings Shares have elected to join in such request for registration by notice
to the Company and the Initiating Holders within ten (10) days of the notice
referred to in Section 2(a)(i) hereof, then the foregoing limitation shall be
inapplicable and, instead, securities held by the holders of Flemings Shares,
the Initiating Holders, the holders of the Encore Shares and each Other
Stockholder shall be excluded from such registration as follows: first,
securities held by Other Stockholders and the Encore Shares shall be excluded
from such registration, to the minimum extent so required by such limitation,
such exclusion to be effected on a pro rata basis (based on the number of shares
requested for inclusion in such registration by the holders of the Encore Shares
and all Other Stockholders); and second, securities held by the holders of the
Flemings Shares and the Initiating Holders shall be excluded from such
registration to the minimum extent so required by such limitation, such
exclusion to be effected on a pro rata basis (based on the number of shares
requested for inclusion in such registration by the Initiating Holders and the
holders of the Flemings Shares). No Registrable Securities or any other
securities excluded from the underwriting by reason of the underwriter's
marketing limitation shall be included in such registration. If any Other
Stockholder who has requested inclusion in such registration as provided above
disapproves of the terms of the underwriting, such person may elect to withdraw

                                       6

 
therefrom by written notice to the Company, the underwriter and the Initiating
Holders. The securities so withdrawn shall also be withdrawn from registration.
If the underwriter has not limited the number of Registrable Securities or other
securities to be underwritten, the Company and officers and directors of the
Company may include its or their securities for its or their own account in such
registration if the representative so agrees and if the number of Registrable
Securities and other securities which would otherwise have been included in such
registration and underwriting will not thereby be limited.

                 (iii)  Right to Defer; General. Notwithstanding the foregoing,
                        -----------------------
if the Company shall promptly (but in no event later than five business days)
upon receipt of a request for registration pursuant to Section 2(a) furnish to
the Initiating Holders a certificate signed by the Secretary of the Company
stating that, in the good faith judgment of the Board of Directors of the
Company (acting through its Independent Directors (as defined in the Purchase
Agreements) as set forth in a duly adopted written resolution, it would
materially interfere with a business or financial transaction of substantial
importance to the Company (other than an underwritten public offering of its
securities) for such registration statement to be filed and it is therefore
necessary to defer the filing of such registration statement, the Company shall
have the right to defer such filing for a period of not more than one hundred
thirty-five (135) days after receipt of the request of the Initiating Holders;
provided, however, that the Company may not utilize this right more than once in
any twelve month period and in no event will the Company be permitted to defer
such filing for more than six (6) months in the aggregate pursuant to Sections
2(a)(iii) and (iv) hereof. In the event of any deferral pursuant to this
Section, the Initiating Holder may, at its option, promptly upon receipt of
notice of such deferral provide notice to the Company of its intention to
withdraw its demand for a registration pursuant to Section 2(a); provided,
however, that upon such withdrawal the Initiation Holder's withdrawn demand for
registration shall not be deemed to have been a demand for purposes of Section
2(a)(i)(y) of this Agreement.

                 (iv)   Right to Defer; Company Offering. Notwithstanding the
                        --------------------------------
foregoing, if the Company receives a request for registration under Section 2(a)
of this Agreement, then it may postpone such request for registration for ninety
(90) days in order to file a registration statement for a primary offering of
Common Stock; provided that, in such event, the Holders may elect by delivering
              --------    
written notice to the Company within ten (10) days of receipt of notice of such
deferral to either (A) postpone such request for registration, in which event
the number of registrations that such holders may exercise under Section 2(a)(i)
hereof shall remain unaffected, (B) exercise the registration rights granted to
them pursuant to Section 2(b) hereof, in which event the number of registrations
that such holders may exercise under Section 2(a)(i) hereof shall remain

                                       7

 
unaffected, or (C) exercise a request for registration under Section 2(a) hereof
in which event such holders shall, notwithstanding the provisions of Section
2(b)(ii) hereof, be treated pari passu with the Company in all respects
                            ---- -----
           (b)  Company Registration.
                -------------------- 

           (i)  If the Company shall determine to register any of its equity
     securities either for its own account or for the account of Other
     Stockholders, other than a registration relating solely to employee benefit
     plans or employee stock plans or similar employee benefit plans, or a
     registration relating solely to a Commission Rule 145 transaction or
     similar transaction, including any registration on Form S-4 or S-8 or any
     successor form to such form, or a registration on any registration form
     which does not permit secondary sales or does not include substantially the
     same information as would be required to be included in a registration
     statement covering the sale of Registrable Securities, the Company will:

                (A)  promptly give to each of the Holders a written notice
       thereof (which shall include a list of the jurisdictions in which the
       Company intends to attempt to qualify such securities under the
       applicable blue sky or other state securities laws), such notice to
       provide, in the case of an underwritten offering for the account of
       holders of Flemings Shares, an opportunity for the Holders to jointly
       exercise their rights with the holders of Flemings Shares to a request
       for registration pursuant to Section 2(a)(i) hereof; and

                (B)  include in such registration (and any related qualification
       under blue sky laws or other compliance), and in any underwriting
       involved therein, all the Registrable Securities specified in a written
       request or requests, made by the Holders within fifteen (15) days after
       receipt of the written notice from the Company described in clause (A)
       above, except as set forth in Section 2(b)(ii) below. Such written
       request may specify all or a part of the Holders' Registrable Securities.

         (ii)  Underwriting. If the registration of which the Company gives
               ------------
     notice is for a registered public offering involving an underwriting, the
     Company shall so advise each of the Holders as a part of the written notice
     given pursuant to Section 2(b)(i)(A). In such event, the right of each of
     the Holders to registration pursuant to this Section 2(b) shall be
     conditioned upon such Holders' participation in such underwriting and the
     inclusion of such Holders' Registrable Securities in the underwriting to
     the extent provided herein. The Holders whose shares are to be included in
     such registration shall (together with the 

                                       8

 
     Company and the Other Stockholders distributing their securities through
     such underwriting) enter into an underwriting agreement in customary form
     with the representative of the underwriter or underwriters selected for
     underwriting by the Company. Notwithstanding any other provision of this
     Section 2(b), if the representative determines that marketing factors
     require a limitation on the number of shares to be underwritten, the
     representative may (subject to the allocation priority set forth below)
     limit the number of Registrable Securities to be included in the
     registration and underwriting. The Company shall so advise all holders of
     securities requesting registration, and the number of shares of securities
     that are entitled to be included in the registration and underwriting shall
     be allocated in the following manner: the securities of the Company held by
     the Initiating Holders and by each Other Stockholder ("Demanding Holders")
     shall be excluded from such registration and underwriting as follows:
     first, securities held by each Other Stockholder (other than Flemings
     Shares and Encore Shares) to the minimum extent required (which may be up
     to 100% of such securities) by such limitation, such exclusion to be
     effected on a pro rata basis (based on the number of shares requested for
     inclusion in such registration by such Other Stockholder); and, second, to
     the extent that the Company is advised that additional shares must also be
     excluded from such registration, securities held by the holders of Flemings
     Shares, Encore Shares and the Initiating Holders shall be excluded from
     such registration to the minimum extent so required (which may be up to
     100% of such securities) by such limitation, such exclusion to be effected
     on a pro rata basis (based on the number of shares requested for inclusion
     in such registration by the Initiating Holders and the holders of the
     Flemings Shares and the holders of the Encore Shares), provided that if
                                                            --------
     such registration is a request by the holders of Flemings Shares pursuant
     to Section 2(a)(i) of the Flemings Registration Rights Agreement, then,
     unless the Initiating Holders have elected to join in such request for
     registration by notice to the Company and the holders of the Flemings
     Shares within ten (10) days of the notice referred to in Section 2(b)(i)(A)
     hereof, such exclusion referred to in "second" above shall apply only to
     the Initiating Holders and the holders of the Encore Shares and not to the
     holders of Flemings Shares. If any of the Demanding Holders disapproves of
     the terms of any such underwriting, he may elect to withdraw therefrom by
     written notice to the Company and the underwriter. Any Registrable
     Securities or other securities excluded or withdrawn from such underwriting
     shall be withdrawn from such registration.

           (c)   Expenses of Registration. All Registration Expenses incurred in
                 ------------------------
connection with any registration, qualification or compliance pursuant to this
Section 2 shall be borne by the Company, and all Selling Expenses shall be borne
by 

                                       9

 
the Holders of the securities so registered pro rata on the basis of the
number of their shares so registered.

           (d)    Registration Procedures. In the case of each registration
                  -----------------------
effected by the Company pursuant to this Section 2, the Company will keep the
Holders, as applicable, advised in writing as to the initiation of each
registration and as to the completion thereof. At its expense, the Company will:

           (i)    prepare and file with the Commission a registration statement
     with respect to such Registrable Securities and use all reasonable
     commercial efforts to cause such registration statement to become
     effective, and, upon the request of the Holders of a majority of the
     Registrable Securities registered thereunder, keep such registration
     effective for a period of one hundred twenty (120) days or until the
     Holders, as applicable, have completed the distribution described in the
     registration statement relating thereto, whichever first occurs;

           (ii)   prepare and file with the Commission such amendments and
     supplements to such registration statement and the prospectus used in
     connection with such registration statement as may be necessary to comply
     with the provisions of the Securities Act with respect to the disposition
     of all securities covered by such registration statement, and furnish such
     copies thereof to the Holders and any underwriters as they may reasonably
     request;

           (iii)  furnish such number of prospectuses and other documents
     incident thereto as each of the Holders, as applicable, from time to time
     may reasonably request in order to facilitate the disposition of the
     Registrable Securities of such Holder;

           (iv)   notify each Holder of Registrable Securities covered by such
     registration at any time when a prospectus relating thereto is required to
     be delivered under the Securities Act when the Company becomes aware of the
     happening of any event as a result of which the prospectus included in such
     registration statement, as then in effect, includes an untrue statement of
     a material fact or omits to state a material fact required to be stated
     therein or necessary to make the statements therein not misleading in the
     light of the circumstances under which they were made, whereupon, each
     Holder shall immediately cease to use such registration statement or
     prospectus for any purpose and, as promptly as practicable thereafter, the
     Company shall prepare and file with the Commission, and furnish without
     charge to the appropriate Holders and managing underwriters, if any, a
     supplement or amendment to such registration statement or prospectus which
     will correct such statement or omission or effect such compliance and in
     such quantities thereof as the Holders and any underwriters may reasonably

                                       10

 
     request, after which time the Holders may continue to use such supplemented
     or amended registration statement and prospectus as provided herein; and

           (v)    furnish, on the date that such Registrable Securities are
     delivered to the underwriters for sale, if such securities are being sold
     through underwriters or, if such securities are not being sold through
     underwriters, on the date that the registration statement with respect to
     such securities becomes effective, (1) an opinion, dated as of such date,
     of the counsel representing the Company for the purposes of such
     registration, in form and substance as is customarily given to underwriters
     in an underwritten public offering and reasonably satisfactory to a
     majority in interest of the Holders participating in such registration,
     addressed to the underwriters, if any, and to the Holders participating in
     such registration and (2) a letter, dated as of such date, from the
     independent certified public accountants of the Company, in form and
     substance as is customarily given by independent certified public
     accountants to underwriters in an underwritten public offering and
     reasonably satisfactory to a majority in interest of the Holders
     participating in such registration, addressed to the underwriters, if any,
     and if permitted by applicable accounting standards, to the Holders
     participating in such registration.

           (e)    Indemnification.
                  --------------- 

           (i)    The Company will indemnify each of the Holders, as applicable,
     each of its officers, directors and partners, and each person controlling
     each of the Holders, with respect to each registration which has been
     effected pursuant to this Section 2, and each underwriter, if any, and each
     person who controls any underwriter, against all claims, losses, damages
     and liabilities (or actions in respect thereof) arising out of or based on
     any untrue statement (or alleged untrue statement) of a material fact
     contained in any prospectus, offering circular or other document (including
     any related registration statement, notification or the like) incident to
     any such registration, qualification or compliance, or based on any
     omission (or alleged omission) to state therein a material fact required to
     be stated therein or necessary to make the statements therein not
     misleading, or any violation by the Company of the Securities Act or the
     Exchange Act or any rule or regulation thereunder applicable to the Company
     and relating to action or inaction required of the Company in connection
     with any such registration, qualification or compliance, and will reimburse
     each of the Holders, each of its officers, directors and partners, and each
     person controlling each of the Holders, each such underwriter and each
     person who controls any such underwriter, for any legal and any other
     expenses reasonably incurred (by one law firm retained by 

                                       11

 
     them and appropriate local counsel) in connection with investigating and
     defending any such claim, loss, damage, liability or action, provided that
     the Company will not be liable in any such case to the extent that any such
     claim, loss, damage, liability or expense arises out of or is based on any
     untrue statement or omission based upon written information furnished to
     the Company by the Holders (including their respective officers, directors,
     partners and controlling persons) or underwriters (including their
     controlling persons) and stated to be specifically for use therein.

           (ii)   Each of the Holders will, if Registrable Securities held by it
     are included in the securities as to which such registration, qualification
     or compliance is being effected, indemnify the Company, each of its
     directors and officers and each underwriter, if any, of the Company's
     securities covered by such a registration statement, each person who
     controls the Company or such underwriter, each Other Stockholder and each
     of their officers, directors, and partners, and each person controlling
     such Other Stockholder against all claims, losses, damages and liabilities
     (or actions in respect thereof) arising out of or based on any untrue
     statement (or alleged untrue statement) of a material fact contained in any
     such registration statement, prospectus, offering circular or other
     document made by such Holder, or any omission (or alleged omission) to
     state therein a material fact required to be stated therein or necessary to
     make the statements by such Holder therein not misleading, and will
     reimburse the Company and such Other Stockholders, directors, officers,
     partners, persons, underwriters or control persons for any legal or any
     other expenses reasonably incurred in connection with investigating or
     defending any such claim, loss, damage, liability or action, in each case
     to the extent, but only to the extent, that such untrue statement (or
     alleged untrue statement) or omission (or alleged omission) is made in such
     registration statement, prospectus, offering circular or other document in
     reliance upon and in conformity with written information furnished to the
     Company by such Holder and stated to be specifically for use therein;
     provided, however, that the obligations of each of the Holders hereunder
     shall be limited to an amount equal to the net proceeds to such Holder of
     securities sold as contemplated herein.

           (iii)  Each party entitled to indemnification under this Section 2(e)
     (the "Indemnified Party") shall give written notice to the party required
     to provide indemnification (the "Indemnifying Party") promptly after such
     Indemnified Party receives notice (whether oral or written) of any claim as
     to which indemnity may be sought, and shall permit the Indemnifying Party
     to assume the defense of any such claim or any litigation resulting


                                       12

     
     therefrom; provided that counsel for the Indemnifying Party, who shall
     conduct the defense of such claim or any litigation resulting therefrom,
     shall be approved by the Indemnified Party (whose approval shall not
     unreasonably be withheld) and the Indemnified Party may participate in such
     defense at such party's expense (unless the named parties to any such
     action or proceeding (including any impleaded parties) include both the
     Indemnifying Party and the Indemnified Party and the Indemnified Party
     shall have been advised by counsel in a written opinion that representation
     of both parties by the same counsel would be inappropriate due to actual or
     potential material differing interests between them, in which case the fees
     and expenses of counsel shall be at the expense of the Indemnifying Party),
     and provided further that the failure of any Indemnified Party to give
     notice as provided herein shall not relieve the Indemnifying Party of its
     obligations under this Section 2(e) unless the Indemnifying Party is
     materially prejudiced thereby. No Indemnifying Party, in the defense of any
     such claim or litigation shall, except with the consent of each Indemnified
     Party, consent to entry of any judgment or enter into any settlement which
     does not include as an unconditional term thereof the giving by the
     claimant or plaintiff to such Indemnified Party of a release from all
     liability in respect to such claim or litigation. Each Indemnified Party
     shall furnish such information regarding itself or the claim in question as
     an Indemnifying Party may reasonably request in writing and as shall be
     reasonably required in connection with the defense of such claim and
     litigation resulting therefrom.

           (iv)   If the indemnification provided for in this Section 2(e) is
     held by a court of competent jurisdiction to be unavailable to an
     Indemnified Party with respect to any loss, liability, claim, damage or
     expense referred to herein, then the Indemnifying Party, in lieu of
     indemnifying such Indemnified Party hereunder, shall contribute to the
     amount paid or payable by such Indemnified Party as a result of such loss,
     liability, claim, damage or expense in such proportion as is appropriate to
     reflect the relative fault of the Indemnifying Party on the one hand and of
     the Indemnified Party on the other in connection with the statements or
     omissions which resulted in such loss, liability, claim, damage or expense,
     as well as any other relevant equitable considerations. The relative fault
     of the Indemnifying Party and of the Indemnified Party shall be determined
     by reference to, among other things, whether any action in question,
     including the untrue (or alleged untrue) statement of a material fact or
     the omission (or alleged omission) to state a material fact, relates to
     information supplied by the Indemnifying Party or by the Indemnified Party
     and the parties' relative intent, knowledge, access to information and
     opportunity to correct or prevent such action, statement or omission.

                                       13

 
           (v)    Notwithstanding the foregoing, to the extent that the
     provisions on indemnification and contribution contained in the
     underwriting agreement entered into in connection with any underwritten
     public offering contemplated by this Agreement are in conflict with the
     foregoing provisions, the provisions in such underwriting agreement shall
     be controlling.

           (vi)   The foregoing indemnity agreement of the Company and Holders
     is subject to the condition that, insofar as they relate to any loss,
     claim, liability or damage made in a preliminary prospectus but eliminated
     or remedied in the amended prospectus on file with the Commission at the
     time the registration statement in question becomes effective or the
     amended prospectus filed with the Commission pursuant to Commission Rule
     424(b) (the "Final Prospectus"), such indemnity or contribution agreement
     shall not inure to the benefit of any underwriter or Holder if a copy of
     the Final Prospectus was furnished to the underwriter or Holder and was not
     furnished to the person asserting the loss, liability, claim or damage at
     or prior to the time such action is required by the Securities Act.

           (vii)  The parties hereto agree that it would not be just and
     equitable if contribution pursuant to this Section 2(e) were determined by
     pro rata allocation or by other method of allocation which does not take
     into account the equitable considerations referred to in Section 2(e)(iv)
     above. No person guilty of fraudulent misrepresentation (within the meaning
     of Section 11(f) of the Securities Act) shall be entitled to contribution
     from any Person who was not guilty of fraudulent misrepresentation.

           (f)    Information by the Holders. Each of the Holders holding
                  --------------------------
securities included in any registration shall furnish to the Company such
information regarding such Holder and the distribution proposed by such Holder
as the Company may reasonably request in writing and as shall be reasonably
required in connection with any registration, qualification or compliance
referred to in this Section 2.

           (g)    Rule 144 Reporting.
                  ------------------ 
          With a view to making available the benefits of certain rules and
regulations of the Commission which may permit the sale of restricted securities
to the public without registration, the Company agrees to:

           (i)    make and keep public information available as those terms are
     understood and defined in Rule 144 under the Securities Act ("Rule 144");

                                       14

 
           (ii)   use its reasonable best efforts to file with the Commission in
     a timely manner all reports and other documents required of the Company
     under the Securities Act and the Exchange Act; and

           (iii)  so long as the Holder owns any Registrable Securities, furnish
     to the Holder upon request, a written statement by the Company as to its
     compliance with the reporting requirements of Rule 144, and of the
     Securities Act and the Exchange Act, a copy of the most recent annual or
     quarterly report of the Company, and such other reports and documents so
     filed as the Holder may reasonably request in availing itself of any rule
     or regulation of the Commission allowing the Holder to sell any such
     securities without registration.

             (h)  "Market Stand-Off" Agreement. Each Holder hereby agrees that
                  ----------------------------
     following the effective date of any registration effected pursuant to
     Sections 2(a) and (b) (provided the Holders are given written notice of the
     offering and the right to participate therein as provided for in this
     Agreement), each Holder shall not, for such reasonable period of time as
     the managing underwriters shall require (but in no event longer than 135
     days), unless otherwise agreed to by the managing underwriter(s), directly
     or indirectly sell, offer to sell, contract to sell (including, without
     limitation, any short sale), grant any option to purchase or otherwise
     transfer or dispose of (other than to donees who agree to be similarly
     bound) any securities of the Company held by it at any time during such
     period except Registrable Securities included in such registration (the
     "Lock-Up Shares"). In addition, each Holder agrees to acknowledge the
     undertaking provided for in this Section 2(h) by entering into customary
     written "lock-up" agreements with respect to the Lock-Up Shares with the
     managing underwriter(s) of the relevant underwriting.

           (i) Other Registration Rights.  Except as provided in this Agreement
               -------------------------                                       
or the Flemings Registration Rights Agreement, or as otherwise consented to in
writing by the Holders, the Company will not grant to any Person the right to
request the Company to register any equity securities of the Company, or any
securities convertible, exchangeable or exercisable for or into such securities
("Other Securities"), other than (i) piggyback registration rights entitling the
  ----------------                                                              
holder thereof to participate in registrations initiated by the Company or by a
Demanding Holder with holders of Registrable Securities; provided, however, that
                                                         --------  -------      
the Registrable Securities shall have priority over Other Securities in any such
registration other than the Encore Shares; (ii) registration rights granted in
connection with the Company's acquisition of a complementary business through a
pooling of interests transaction; provided, however, that (x) the Company is
                                  --------  -------                         
required to grant such rights in order to account for any such acquisition as a
pooling of interests transaction, (y) such rights or the agreement or 

                                       15

 
instrument granting such rights will not restrict or otherwise adversely affect
the ability of the Company to perform its obligations under this Agreement and
(z) the Company shall use its reasonable best efforts to obtain agreements from
any holder or holders who receive such rights to the effect that such holders
will enter into lock-up agreements if requested to do so by any underwriter in
any registration effected pursuant to Section 2(a) (except that the Company
shall not be obligated to take such action if it would prevent the subject
acquisition from being accounted for as a pooling of interests) and (iii)
registration rights granted in connection with the Company's acquisition of a
complementary business through a purchase transaction (which could be in the
form of demand registration rights or the Company's agreement to file a
registration statement for securities delivered as consideration in such
purchase transaction (a "Purchase Registration")); provided, however, that (x)
                                                   --------  -------
such rights or the agreement or instrument granting such rights
will not restrict or otherwise adversely affect the ability of the Company to
perform its obligations under this Agreement and (y) the holders of the
Registrable Securities shall have the right to piggyback on any Purchase
Registration and the priority of securities to be included in any such
registration shall be governed by Section 2(b) hereof. In the case of clause
(iii) above, the holders of the Registrable Securities shall be entitled to the
notice provided for in Section 2(a)(i)(a) hereof.

             3.  MISCELLANEOUS
                 -------------

                   (a)  Directly or Indirectly. Where any provision in this
                        ----------------------
Agreement refers to action to be taken by any Person, or which such Person is
prohibited from taking, such provision shall be applicable whether such action
is taken directly or indirectly by such Person.

                   (b)  Governing Law. This Agreement shall be governed by and
                        -------------
construed in accordance with the laws of the State of Delaware applicable to
contracts made and to be performed entirely within such State.

                   (c)  Section Headings. The headings of the sections and
                        ----------------  
subsections of this Agreement are inserted for convenience only and shall not be
deemed to constitute a part thereof.

                   (d)  Notices.
                        ------- 

                   (i)  All communications under this Agreement shall be in
     writing and shall be delivered by hand or facsimile or mailed by overnight
     courier or by registered or certified mail, postage prepaid:

                        (A)  if to the Company, to Four Media Company, 625
          Arizona Avenue, Santa Monica, CA 90401, 

                                       16

 
          Attention: William E. Niles, Esq. (facsimile: (310) 587-1277, or at
          such other address as it may have furnished in writing to the
          Investor;

                        (B)  if to the Investor, at the address or facsimile
          number listed on Schedule I hereto, or at such other address or
          facsimile number as may have been furnished the Company in writing.

                (iii)   Any notice so addressed shall be deemed to be given: if
     delivered by hand or facsimile, on the date of such delivery; if mailed by
     courier, on the first business day following the date of such mailing; and
     if mailed by registered or certified mail, on the third business day after
     the date of such mailing.

                (e)     Reproduction of Documents. This Agreement and all
                        -------------------------
documents relating thereto, including, without limitation, any consents, waivers
and modifications which may hereafter be executed may be reproduced by the
Investor by any photographic, photostatic, microfilm, microcard, miniature
photographic or other similar process and the Investor may destroy any original
document so reproduced. The parties hereto agree and stipulate that any such
reproduction shall be admissible in evidence as the original itself in any
judicial or administrative proceeding (whether or not the original is in
existence and whether or not such reproduction was made by the Investor in the
regular course of business) and that any enlargement, facsimile or further
reproduction of such reproduction shall likewise be admissible in evidence.

                (f)     Successors and Assigns. This Agreement shall inure to
                        ----------------------
the benefit of and be binding upon the successors and assigns of each of the
parties.

                (g)     Entire Agreement; Amendment and Waiver. This Agreement
                        --------------------------------------
constitutes the entire understanding of the parties hereto with respect to the
subject matter described herein and supersedes all prior understanding among
such parties with respect thereto. This Agreement may be amended, and the
observance of any term of this Agreement may be waived, with (and only with) the
written consent of the Company and the Investor.

                (h)     Severability. In the event that any part or parts of
                        ------------
this Agreement shall be held illegal or unenforceable by any court or
administrative body of competent jurisdiction, such determination shall not
effect the remaining provisions of this Agreement which shall remain in full
force and effect.

                (i)     Counterparts. This Agreement may be executed in one or
                        ------------ 
more counterparts, each of which shall be deemed an original and all of which
together shall be considered one and the same agreement.

                                       17

 
            IN WITNESS WHEREOF, the undersigned have executed this Agreement as
of the date first set forth above.


                              FOUR MEDIA COMPANY

                                   /s/ Robert T. Walston
                              By:__________________________________
                              Name:  Robert T. Walston
                              Title: Chief Executive Officer


                              INVESTORS:

                              WARBURG, PINCUS EQUITY PARTNERS, L.P.

                              BY: WARBURG, PINCUS & CO.,
                                  GENERAL PARTNER

                                   /s/ David E. Libowitz
                              BY:__________________________________
                              NAME:  David E. Libowitz
                              TITLE: Managing Director

                              WARBURG, PINCUS NETHERLANDS EQUITY
                              PARTNERS I, C.V.

                              BY: WARBURG, PINCUS & CO.,
                                  GENERAL PARTNER

                                   /s/ David E. Libowitz
                              BY: ________________________________
                              NAME:  David E. Libowitz
                              TITLE: Managing Director

                              WARBURG, PINCUS NETHERLANDS EQUITY
                              PARTNERS II, C.V.

                              BY: WARBURG, PINCUS & CO.,
                                  GENERAL PARTNER

                                   /s/ David E. Libowitz  
                              BY: ________________________________
                              NAME: David E. Libowitz
                              TITLE: Managing Director


 
                             WARBURG, PINCUS NETHERLANDS EQUITY
                             PARTNERS III, C.V.

                              BY: WARBURG, PINCUS & CO.,
                                  GENERAL PARTNER

                                   /s/ David E. Libowitz
                              BY: _________________________________
                              NAME:  David E. Libowitz 
                              TITLE: Managing Director


 
                                  SCHEDULE I


NAME AND ADDRESS
OF INVESTOR:
- ------------

WARBURG, PINCUS EQUITY PARTNERS, L.P.

WARBURG, PINCUS NETHERLANDS EQUITY PARTNERS I, C.V.

WARBURG, PINCUS NETHERLANDS EQUITY PARTNERS II, C.V.

WARBURG, PINCUS NETHERLANDS EQUITY PARTNERS III, C.V.


466 LEXINGTON AVENUE
NEW YORK, NY  10017
ATTENTION: DAVID E. LIBOWITZ
FACSIMILE: (212) 878-9351