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