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