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