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