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