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)
Earn 10 Relics (gold or better)
Seek and destroy
Earn 26 Gems
Earn the Key in Jaws of Darkness
Earn 13 Gems
Earn 99 Lives
Earn the Key in Sunset Vista
Earn 5 Relics
Defeat N. Cortex
Discover a Gem Path after earning a Color Gem
Defeat N. Brio
Defeat Pinstripe Potoroo
Die as Crash.
Defeat Koala Kong
Earn 30 Relics (gold or better)
Defeat Ripper Roo
Miss a lot of boxes.
Defeat 5 enemies with Coco's Spin
Defeat Papu-Papu
Spin away an Extra Life
Die.
In a single level, spin an enemy into another enemy twice
Enter a Bonus Round after collecting 3 Character Tokens
Shoot 5 of them in a single level.
Avoid whatever he's flinging at you.
Have your bazooka ready.
Seek and destroy. Again.
Shoot the Imposter
Shoot a background UFO in Future Tense.
Earn 42 Gems
Earn the Gems in the bonus levels
Discovered the Secret Exit in Dino Might!
Earn 21 Gems
Defeat N. Gin
Defeat 5 enemies with Coco's Savage Hurricane Spin
Defeat N. Tropy
Discovered the Secret Exit in Road Crash
Discover a Death Route
Defeat Dingodile
Defeat Tiny Tiger
Discover a "?" Bonus Path
Earn 27 Relics (gold or better)
Fly, then die.
Discover the Secret Exit in Diggin' It
Defeat 5 enemies with Coco's Double Leg Drop
Unlocked the Secret Exit in Hangin' Out
Unlocked the Secret Exit in Unbearable
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
Just "forget" it. Repeatedly.
Do hard time