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