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