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