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