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