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