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