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