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