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