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