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 27 Relics (gold or better)
Earn 10 Relics (gold or better)
Fly, then die.
Earn 99 Lives
Earn 5 Relics
Earn 30 Relics (gold or better)
Shoot the Imposter
Earn 42 Gems
Seek and destroy. Again.
Do hard time
Shoot a background UFO in Future Tense.
Shoot 5 of them in a single level.
Earn the Gems in the bonus levels
Discovered the Secret Exit in Dino Might!
Have your bazooka ready.
Defeat 5 enemies with Coco's Savage Hurricane Spin
Defeat N. Cortex
Die.
Defeat N. Gin
Earn 21 Gems
Avoid whatever he's flinging at you.
Discover a Gem Path after earning a Color Gem
Defeat N. Tropy
Discover a Death Route
Discovered the Secret Exit in Road Crash
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
Unlocked the Secret Exit in Hangin' Out
Die as Crash.
Discover the Secret Exit in Bear Down
Unlocked the Secret Exit in Unbearable
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.
Miss a lot of boxes.
Earn 26 Relics (gold or better)
Seek and destroy
Earn 26 Gems
Spin away an Extra Life
Defeat 5 enemies with Coco's Spin
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
Defeat Papu-Papu
Enter a Bonus Round after collecting 3 Character Tokens
In a single level, spin an enemy into another enemy twice