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