There are 12 Trophies that can be collected.

Bronze

Points II    
Score 250,000 points.

Boss I    
Defeat the first level boss.    

Wolf Hunter    
Kill 30 two-headed wolves.    

Multiple Beasts    
Play in an online multiplayer game.    

Points I    
Score 150,000 points.    

Three in a Row    
Collect Spirit Balls from the first three White Wolves in any level – Single Player mode only.    

Giant Man    
Collect a Spirit Ball.

Silver

Renaissance Man    
Start the game once with each of the four difficulty settings.    

Points III    
Score 350,000 points.    

Untouchable    
Reach the third level without losing a life.

Boss III    
Defeat the third level boss.

Gold

Complete The Game    
Finish the game.

http://www.ps3trophies.org/game/altered-beast/trophies/