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