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