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