Here is the full list of all 51 X-Men Origins: Wolverine trophies - there are 38 bronze, 10 silver, 2 gold and 1 platinum.
You collected all the trophies in Wolverine.
Raised All Combat Reflexes to Master Level
Found all Dog Tags in the game
Maxed out all upgrades
Light 20 enemies on fire
Fought 4 W.E.N.D.I.G.0 prototypes at the same time and defeated them at Alkali lake.
Killed 2000 enemies
Killed 150 enemies while in Berserker mode
Killed 200 enemies with Claw Spin
Killed 25 enemies with a reflected projectile
Raised One Combat Reflex to Master Level
Beat the game on Hard Difficulty
You feel a cold as you examine the sword and skeleton. A rustle of wind in the trees faintly echoes the name Arthas
Performed 10 Air Grabs
Got 6 enemies airborne at once
Impaled Victor Creed outside the Bar
Defeated Weapon 11 (Deadpool)
Killed 25 Ghosts with their own weapon
Completed the Jungle Mission
Performed 25 Counter moves
Defeated Remy LeBeau (Gambit)
Found 1/2 of all Dog Tags in the game
Defeated Fred Dukes (The Blob)
Destroyed all objects in the grocery store fight with Fred Dukes (The Blob)
Defeated the Sentinel Mark I
Flew through the O ring in the Sentinel Boss Battle
Killed 200 enemies in Feral Sense
Quick Killed 20 enemies
Raised one Mutagen to level 3
You found the cake, yummy!
Quick Killed 3 enemies in a row
Performed a Wolverine to Wolverine Lunge
Defeated David Nord (Agent Zero)
Killed 30 enemies using objects in the environment
Lunged to 250 enemies
Dismembered 100 enemies
Killed 500 enemies
Killed 50 enemies while in Berserker mode
Killed 10 enemies using objects in the environment
Killed 10 enemies by throwing them off high areas
Escapes from Weapon X
Killed 6 enemies with a single attack
Killed 1 enemy with a reflected projectile
Lunged to a W.E.N.D.I.G.0 prototype's back
Quick Killed 1 enemy
Lunged to 100 enemies
Defeated Victor Creed (Sabretooth)
Performed 1 Counter move
Killed 100 enemies
You found a mysterious hatch!
Lunged to 25 enemies