The Collaborative International Dictionary of English v.0.48:

Accept \Ac*cept"\ ([a^]k*s[e^]pt"), v. t. [imp. & p. p.
   Accepted; p. pr. & vb. n. Accepting.] [F. accepter, L.
   acceptare, freq. of accipere; ad + capere to take; akin to E.
   heave.]
   [1913 Webster]
   1. To receive with a consenting mind (something offered); as,
      to accept a gift; -- often followed by of.
      [1913 Webster]

            If you accept them, then their worth is great.
                                                  --Shak.
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            To accept of ransom for my son.       --Milton.
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            She accepted of a treat.              --Addison.
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   2. To receive with favor; to approve.
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            The Lord accept thy burnt sacrifice. --Ps. xx. 3.
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            Peradventure he will accept of me. --Gen. xxxii. 20.
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   3. To receive or admit and agree to; to assent to; as, I
      accept your proposal, amendment, or excuse.
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   4. To take by the mind; to understand; as, How are these
      words to be accepted?
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   5. (Com.) To receive as obligatory and promise to pay; as, to
      accept a bill of exchange. --Bouvier.
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   6. In a deliberate body, to receive in acquittance of a duty
      imposed; as, to accept the report of a committee. [This
      makes it the property of the body, and the question is
      then on its adoption.]
      [1913 Webster]

   To accept a bill (Law), to agree (on the part of the
      drawee) to pay it when due.

   To accept service (Law), to agree that a writ or process
      shall be considered as regularly served, when it has not
      been.

   To accept the person (Eccl.), to show favoritism. "God
      accepteth no man's person." --Gal. ii. 6.
      [1913 Webster]

   Syn: To receive; take; admit. See Receive.
        [1913 Webster]

WordNet (r) 3.0 (2006):

accepted
    adj 1: generally approved or compelling recognition; "several
           accepted techniques for treating the condition"; "his
           recognized superiority in this kind of work" [syn:
           accepted, recognized, recognised]

Moby Thesaurus II by Grady Ward, 1.0:

138 Moby Thesaurus words for "accepted":
   Christian, acclaimed, accustomed, acknowledged, admired, admitted,
   adopted, advocated, affirmed, allowed, applauded, appointed,
   approved, assumed, authentic, authenticated, authoritative, avowed,
   backed, being done, believed, canonical, carried, cathedral,
   certified, chanced, chosen, chronic, comme il faut, conceded,
   confessed, confirmed, conformable, consuetudinary, conventional,
   correct, countersigned, credited, cried up, current, customary,
   de rigueur, decent, decorous, designated, elect, elected,
   elected by acclamation, embraced, endorsed, espoused, established,
   evangelical, everyday, ex cathedra, faithful, familiar, favored,
   favorite, firm, formal, generally accepted, granted, habitual,
   handpicked, highly touted, in good odor, in hand, in process,
   in progress, in the works, literal, magisterial, meet, named,
   nominated, normal, notarized, obtaining, of the faith, official,
   on the anvil, ordinary, orthodox, orthodoxical, passed, picked,
   popular, prescribed, prescriptive, prevalent, professed, proper,
   ratified, received, recognized, recommended, regular, regulation,
   right, routine, sanctioned, scriptural, sealed, seemly, select,
   selected, set, signed, sound, stamped, standard, stock, supported,
   sworn and affirmed, sworn to, textual, time-honored, traditional,
   traditionalistic, true, true-blue, trusted, unanimously elected,
   uncontested, under way, undertaken, underwritten, undisputed,
   undoubted, unquestioned, unsuspected, usual, validated, warranted,
   well-thought-of, widespread, wonted