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