Here is the full list of all 25 Crash Bandicoot 2: Cortex Strikes Back trophies - there are 7 bronze, 11 silver, 6 gold and 1 platinum.
Collect all the Crash Bandicoot 2: Cortex Strikes Back trophies.
Earn 27 Relics (gold or better).
Earn 42 Gems.
Earn 10 Relics (gold or better).
Earn 5 Relics.
Earn 21 Gems.
Earn 99 lives.
Unlocked the Secret Exit in Unbearable.
Unlocked the Secret Exit in Diggin' It.
Unlocked the Secret Exit in Bear Down.
Unlocked the Secret Exit in Air Crash.
Defeat N. Cortex.
Defeat N. Gin.
Die as Crash.
Discover a Death Route.
Unlocked the Secret Exit in Hangin' Out.
Defeat Tiny Tiger.
Defeat the Komodo Brothers.
Fly, then die.
Defeat 5 enemies with Coco's Double Leg Drop.
Don't feel guilty about jumping on him.
Defeat Ripper Roo.
Discover a Gem Path after earning a Color Gem.
Just "forget" it. Repeatedly.
Discover a "?" Bonus Path.