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