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