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