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