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