The Collaborative International Dictionary of English v.0.48:

Bullfight \Bull"fight`\, Bullfighting \Bull"fight`ing\, n.
   a sport of great antiquity, in which men torment, and fight
   with, a bull or bulls in an arena, for public amusement, --
   still popular in Spain, Portugal and Latin American. In the
   Spanish version a matador kills the bull with a sword after
   the bull has been weakened by wounds from small barbed rods,
   and after he has displayed courage and artistic skill in
   causing the bull to charge many times while he stands still
   or nearly still. In some versions the bull is not killed.
   Occasionally the matador is wounded or killed by the bull. --
   Bull"fight`er, n.

   Syn: corrida.
        [1913 Webster +PJC]

WordNet (r) 3.0 (2006):

bullfight
    n 1: a Spanish or Portuguese or Latin American spectacle; a
         matador baits and (usually) kills a bull in an arena before
         many spectators [syn: bullfight, corrida]

Moby Thesaurus II by Grady Ward, 1.0:

39 Moby Thesaurus words for "bullfight":
   action, aerial combat, affray, armored combat, battle,
   battle royal, brush, clash, clash of arms, cockfight, combat,
   conflict, dogfight, embroilment, exchange of blows, fight,
   fire fight, fray, ground combat, hand-to-hand combat,
   hand-to-hand fight, house-to-house combat, naval combat,
   passage of arms, pitched battle, quarrel, rumble, running fight,
   scramble, scrimmage, scuffle, shoving match, skirmish,
   stand-up fight, street fight, struggle, tauromachy, tug-of-war,
   tussle