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