The Collaborative International Dictionary of English v.0.48:

Outdo \Out*do"\ (out*d[=oo]"), v. t. [imp. Outdid
   (out*d[i^]d"); p. p. Outdone (out*d[u^]n"); p. pr. & vb. n.
   Outdoing.]
   To go beyond in performance; to excel; to surpass.
   [1913 Webster]

         An imposture outdoes the original.       --L' Estrange.
   [1913 Webster]

         I grieve to be outdone by Gay.           --Swift.
   [1913 Webster]

   To outdo oneself to surpass one's own previous best
      performance.
      [PJC]

The Collaborative International Dictionary of English v.0.48:

outdone \outdone\ adj.
   defeated.

   Syn: bested.
        [WordNet 1.5 +PJC]

Moby Thesaurus II by Grady Ward, 1.0:

44 Moby Thesaurus words for "outdone":
   all up with, beat, beaten, bested, confounded, defeated,
   discomfited, done for, done in, down, fallen, fixed, floored,
   hors de combat, lambasted, lathered, licked, on the skids,
   overborne, overcome, overmastered, overmatched, overpowered,
   overridden, overthrown, overturned, overwhelmed, panicked,
   put to rout, routed, ruined, scattered, settled, silenced, skinned,
   skinned alive, stampeded, trimmed, trounced, undone, upset,
   whelmed, whipped, worsted