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