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