Here is the full list of all 35 Turok 3: Shadow of Oblivion Remastered achievements.
Defeat the Alpha Fireborn
Kill 2 enemies at once with the Razor Wind
Find 3 secret areas
Defeat the Warlord
Kill 30 enemies with regular arrows
Kill 25 enemies with melee weapons
Set 30 enemies on fire with the Fireswarm shotgun
Defeat Opisthor
Shoot the oxygen canister on the back of a Lost One
Defeat Xiphias
Kill an enemy with an explosion from a fire extinguisher
Pickup 100 Life Forces
Defeat the Oblivion Gunship
Pickup 500 Life Forces
Blow off 300 limbs
Destroy the Oblivion Refineries
Collect all the PSG Parts
Kill 30 Raptors
Kill 150 enemies with explosive weapons
Kill 10 enemies by bouncing a shot from the Shredder
Kill 30 enemies by blowing off their heads using the Sniper Rifle
Kill 3 enemies at once with the Napalm Cannon
Drain 200 Health with the Vampire Gun
Drill into the brains of 20 enemies
Take possession of an enemy and kill them using the environment
Kill 4 enemies at once with the PSG
Defeat Oblivion
Beat the game with Joseph
Beat the game with Danielle
Beat the game with Joshua
Beat the game with the Raptor
Beat the game on any difficulty
Beat the game on Hard difficulty
Beat the game on Oblivion difficulty
Complete the game with any character in under 1 hour and 20 minutes