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