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