Getting Started (10 points): Killed 100 enemies.
A Day's Work (20 points): Killed 500 enemies.
What I Do Best (30 points): Killed 2000 enemies.
You Can't Hide (20 points): Lunged to 250 enemies.
Lunge (10 points): Lunged to 25 enemies.
Pounce (15 points): Lunged to 100 enemies.
Piggy Back Ride (10 points): Lunged to a W.E.N.D.I.G.0 prototype's back.
Quick Killer (10 points): Quick Killed 1 enemy.
Efficient Killer (15 points): Quick Killed 20 enemies.
Perfect Killer (20 points): Quick Killed 3 enemies in a row.
Drop Dead (10 points): Killed 10 enemies by throwing them off high areas.
Apprentice (10 points): Raised One Combat Reflex to Master Level.
Samurai (25 points): Raised All Combat Reflexes to Master Level.
Mutant Lover (15 points): Raised one Mutagen to level 3.
Astonishing (20 points): Found 1/2 of all Dog Tags in the game.
Devil's Brigade (30 points): Found all Dog Tags in the game.
Defensive (10 points): Performed 1 Counter move.
Untouchable (20 points): Performed 25 Counter moves.
Catch! (10 points): Killed 1 enemy with a reflected projectile.
Boomerang (20 points): Killed 25 enemies with a reflected projectile.
Aerial Assault (10 points): Performed 10 Air Grabs.
Ultimate Wolverine (15 points): Fought 4 W.E.N.D.I.G.0 prototypes at the same time and defeated them at Alkali lake.
Hot Potato (20 points): Light 20 enemies on fire.
Shotgun Epic Fail (15 points): Killed 25 Ghosts with their own weapon.
James Howlett (15 points): Performed a Wolverine to Wolverine Lunge.
WoW! (15 points): You feel cold as you examine the skeleton and read the name "Arthas" etched into the nearby sword.
Aerial Master (15 points): Got 6 enemies airborne at once.
Fully Loaded (35 points): Maxed out all upgrades.
Slice n' Dice (15 points): Killed 6 enemies with a single attack.
Found! (15 points): You found a mysterious hatch.
Slaughter House (15 points): Dismembered 100 enemies.
Blender (25 points): Killed 200 enemies with Claw Spin.
Walking Death (50 points): Beat the game on Hard Difficulty.
Heightened Senses (20 points): Killed 200 enemies in Feral Sense.
Environmentally Friendly (15 points): Killed 10 enemies using objects in the environment.
Whatever it Takes (20 points): Killed 30 enemies using objects in the environment.
Bloodlust (20 points): Killed 50 enemies while in Berserker mode.
Weapon X (25 points): Killed 150 enemies while in Berserker mode.
The Cake (15 points): You found the cake, yummy.

Additionally there are eleven secret achievements.

Fallen Sentinel (30 points): Defeated the Sentinel Mark 1.
52 Pick Up (30 points): Defeated Remy LeBeau (Gambit).
Put Up Your Dukes (30 points): Defeated Fred Dukes (the Blob).
The Village (30 points): Completed the Jungle mission.
Helicopter Ride (30 points): Defeated David Nord (Agent Zero).
The Dead Pool (50 points): Defeated weapon 11 (Deadpool).
Spillway Escape (30 points): Escape Weapon X.
Threading the Needle (15 points): Flew through the 0 ring in the Sentinel Boss Battle
Bar-Fights (30 points): Defeated Victor Creed.
Stick Around (10 points): Impale Victor Creed outside the Bar.
Clean Up On All Aisles (10 points): Destroyed all objects in the grocery store fight with Fred Dukes (The Blob).