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
Seek and destroy. Again.
Shoot a background UFO in Future Tense.
Earn 30 Relics (gold or better)
Earn the Gems in the bonus levels
Discovered the Secret Exit in Dino Might!
Discovered the Secret Exit in Road Crash
Just "forget" it. Repeatedly.
Avoid whatever he's flinging at you.
Shoot 5 of them in a single level.
Shoot the Imposter
Die.
Have your bazooka ready.
Earn 42 Gems
Defeat N. Cortex
Discover a Gem Path after earning a Color Gem
Defeat N. Gin
Earn 21 Gems
Earn 10 Relics (gold or better)
Defeat 5 enemies with Coco's Savage Hurricane Spin
Defeat N. Tropy
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)
Fly, then die.
Discover the Secret Exit in Diggin' It
Die as Crash.
Unlocked the Secret Exit in Hangin' Out
Do hard time
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
Seek and destroy
Earn 26 Relics (gold or better)
Miss a lot of boxes.
Earn 26 Gems
Defeat N. Brio
Earn the Key in Jaws of Darkness
Earn 13 Gems
Defeat Pinstripe Potoroo
Defeat 5 enemies with Coco's Spin
Defeat Koala Kong
Earn the Key in Sunset Vista
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