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