Here is the full list of all 74 Crash Bandicoot N. Sane Trilogy achievements. It takes around 40-50 hours to unlock all of the achievements on Windows.
Just "forget" it. Repeatedly.
Earn 42 Gems
Earn 27 Relics (gold or better)
Earn 10 Relics (gold or better)
Earn 5 Relics
Defeat N. Cortex
Earn 21 Gems
Defeat N. Gin
Earn 99 Lives
Discover the Secret Exit in Diggin' It
Die as Crash.
Unlocked the Secret Exit in Hangin' Out
Defeat Tiny Tiger
Unlocked the Secret Exit in Unbearable
Discover the Secret Exit in Bear Down
Discover a Gem Path after earning a Color Gem
Defeat the Komodo Brothers
Discover a "?" Bonus Path
Fly, then die.
Don't feel guilty about jumping on him.
Discover the Secret Exit in Air Crash
Discover a Death Route
Defeat 5 enemies with Coco's Double Leg Drop
Defeat Ripper Roo
Defeat 5 enemies with Coco's Savage Hurricane Spin
Seek and destroy. Again.
Shoot a background UFO in Future Tense.
Shoot 5 of them in a single level.
Have your bazooka ready.
Shoot the Imposter
Earn 30 Relics (gold or better)
Earn the Gems in the bonus levels
Discovered the Secret Exit in Dino Might!
Die.
Avoid whatever he's flinging at you.
Defeat N. Tropy
Discovered the Secret Exit in Road Crash
Earn 26 Gems
Do hard time
Seek and destroy
Earn 26 Relics (gold or better)
Earn the Key in Jaws of Darkness
Defeat N. Brio
Earn 13 Gems
Defeat Pinstripe Potoroo
Spin away an Extra Life
Defeat Koala Kong
Earn the Key in Sunset Vista
Enter a Bonus Round after collecting 3 Character Tokens
Defeat 5 enemies with Coco's Spin
Defeat Papu-Papu
Defeat Dingodile
In a single level, spin an enemy into another enemy twice
Miss a lot of boxes.