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