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.
Earn 99 Lives
Shoot the Imposter
Seek and destroy. Again.
Earn 42 Gems
Avoid whatever he's flinging at you.
Have your bazooka ready.
Shoot 5 of them in a single level.
Earn the Gems in the bonus levels
Discovered the Secret Exit in Dino Might!
Earn 30 Relics (gold or better)
Discovered the Secret Exit in Road Crash
Earn 21 Gems
Shoot a background UFO in Future Tense.
Defeat 5 enemies with Coco's Savage Hurricane Spin
Earn 10 Relics (gold or better)
Earn 5 Relics
Defeat N. Cortex
Discover a Gem Path after earning a Color Gem
Defeat N. Gin
Die.
Defeat N. Tropy
Discover a Death Route
Defeat Dingodile
Defeat Tiny Tiger
Discover a "?" Bonus Path
Discover the Secret Exit in Bear Down
Fly, then die.
Earn 27 Relics (gold or better)
Unlocked the Secret Exit in Hangin' Out
Unlocked the Secret Exit in Unbearable
Discover the Secret Exit in Diggin' It
Defeat 5 enemies with Coco's Double Leg Drop
Miss a lot of boxes.
Die as Crash.
Defeat the Komodo Brothers
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
Earn 26 Relics (gold or better)
Earn 26 Gems
Earn the Key in Jaws of Darkness
Seek and destroy
Earn 13 Gems
Defeat N. Brio
Defeat 5 enemies with Coco's Spin
Defeat Pinstripe Potoroo
Defeat Koala Kong
Earn the Key in Sunset Vista
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