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