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