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