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