Here is the full list of all 77 Crash Bandicoot N. Sane Trilogy achievements worth 3,000 gamerscore.
Defeat Tiny Tiger.
Discover a Death Route.
Defeat the Komodo Brothers.
Don't feel guilty about jumping on him.
Defeat Ripper Roo.
Defeat Pinstripe Potoroo.
Die as Crash.
Miss a lot of boxes.
Defeat Koala Kong.
Earn the Key in Sunset Vista.
Discover a "?" Bonus Path.
Die.
Earn 99 Lives.
Avoid whatever he's flinging at you.
Earn the Gems in the bonus levels.
Discover the Secret Exit in Dino Might!
Shoot 5 of them in a single level.
Have your bazooka ready.
Defeat N. Gin.
Defeat 5 enemies with Coco's Savage Hurricane Spin.
Defeat N. Tropy.
Earn 21 Gems.
Discover the Secret Exit in Road Crash.
Discover a Gem Path after earning a Color Gem.
Defeat Dingodile.
Earn 5 Relics.
Defeat Papu-Papu.
Enter a Bonus Round after collecting 3 Character Tokens.
In a single level, spin an enemy into another enemy twice.
Spin away an Extra Life.
Earn the Key in Jaws of Darkness.
Earn 10 Relics (gold or better).
Seek and destroy.
Defeat N. Cortex.
Earn 13 Gems.
Defeat N. Brio.
Defeat 5 enemies with Coco's Spin.
Do hard time.
Earn 26 Relics (gold or better).
Earn 26 Gems.
Collect all the Crash Bandicoot Achievements
Just "forget" it. Repeatedly.
Fly, then die.
Discover the Secret Exit in Hangin' Out.
Discover the Secret Exit in Bear Down.
Discover the Secret Exit in Air Crash.
Discover the Secret Exit in Unbearable.
Discover the Secret Exit in Diggin' It.
Defeat 5 enemies with Coco's Double Leg Drop.
Earn 42 Gems.
Earn 27 Relics (gold or better).
Collect all the Crash Bandicoot 2: Cortex Strikes Back Achievements
Shoot the imposter.
Shoot a background UFO in Future Tense.
Seek and destroy. Again.
Earn 30 Relics (gold or better).
Collect all the Crash Bandicoot 3: Warped Achievements