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