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