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