WordNet (r) 3.0 (2006):

gymkhana
    n 1: a meet at which riders and horses display a range of skills
         and aptitudes

Moby Thesaurus II by Grady Ward, 1.0:

31 Moby Thesaurus words for "gymkhana":
   Highland games, Olympiad, Olympic games, Olympics, bout, carousel,
   concours, contest, derby, encounter, engagement, field day, fight,
   game, games, go, joust, match, matching, meet, meeting, rally,
   regatta, rencontre, test, the Olympics, tilt, tournament, tourney,
   track meet, trial