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 the Gems in the bonus levels
Earn 30 Relics (gold or better)
Have your bazooka ready.
Shoot the Imposter
Earn 42 Gems
Earn 99 Lives
Discovered the Secret Exit in Dino Might!
Earn 10 Relics (gold or better)
Avoid whatever he's flinging at you.
Earn 5 Relics
Discover a Gem Path after earning a Color Gem
Shoot 5 of them in a single level.
Defeat 5 enemies with Coco's Savage Hurricane Spin
Discovered the Secret Exit in Road Crash
Defeat N. Cortex
Earn 21 Gems
Defeat N. Gin
Die.
Defeat N. Tropy
Discover a Death Route
Defeat Dingodile
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
Discover the Secret Exit in Bear Down
Defeat the Komodo Brothers
Fly, then die.
Discover the Secret Exit in Air Crash
Don't feel guilty about jumping on him.
Defeat Ripper Roo
Just "forget" it. Repeatedly.
Do hard time
Seek and destroy
Earn 26 Relics (gold or better)
Earn 26 Gems
Defeat N. Brio
Earn 13 Gems
Earn the Key in Jaws of Darkness
Defeat Pinstripe Potoroo
Defeat Koala Kong
Earn the Key in Sunset Vista
Defeat 5 enemies with Coco's Spin
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
Spin away an Extra Life