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