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