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