WordNet (r) 3.0 (2006):

big game
    n 1: large animals that are hunted for sport

Moby Thesaurus II by Grady Ward, 1.0:

27 Moby Thesaurus words for "big game":
   Animalia, and fish, animal kingdom, animal life, animality, beasts,
   beasts of field, beasts of prey, beasts of venery, birds,
   brute creation, cattle, domestic animals, fauna, furry creatures,
   game, kill, livestock, prey, quarry, small game, stock, the hunted,
   venery, victim, wild animals, wildlife