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.
Have your bazooka ready.
Shoot the Imposter
Die.
Shoot 5 of them in a single level.
Avoid whatever he's flinging at you.
Earn 99 Lives
Shoot a background UFO in Future Tense.
Earn 30 Relics (gold or better)
Seek and destroy. Again.
Earn 42 Gems
Earn the Gems in the bonus levels
Discovered the Secret Exit in Road Crash
Discovered the Secret Exit in Dino Might!
Earn 10 Relics (gold or better)
Earn 21 Gems
Earn 5 Relics
Discover a Gem Path after earning a Color Gem
Defeat N. Cortex
Defeat 5 enemies with Coco's Savage Hurricane Spin
Defeat N. Gin
Defeat N. Tropy
Discover a Death Route
Defeat Dingodile
Defeat Tiny Tiger
Spin away an Extra Life
Miss a lot of boxes.
Just "forget" it. Repeatedly.
Defeat 5 enemies with Coco's Double Leg Drop
Do hard time
Earn 26 Relics (gold or better)
Seek and destroy
Earn 27 Relics (gold or better)
Discover the Secret Exit in Diggin' It
Discover a "?" Bonus Path
Die as Crash.
Unlocked the Secret Exit in Hangin' Out
Unlocked the Secret Exit in Unbearable
Fly, then die.
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
Earn 26 Gems
Earn the Key in Jaws of Darkness
Defeat N. Brio
Earn 13 Gems
Defeat Pinstripe Potoroo
Earn the Key in Sunset Vista
Defeat Koala Kong
Defeat 5 enemies with Coco's Spin
Defeat Papu-Papu
Enter a Bonus Round after collecting 3 Character Tokens
In a single level, spin an enemy into another enemy twice