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.
Die.
Shoot a background UFO in Future Tense.
Earn 30 Relics (gold or better)
Seek and destroy. Again.
Shoot the Imposter
Earn 42 Gems
Have your bazooka ready.
Avoid whatever he's flinging at you.
Shoot 5 of them in a single level.
Earn 99 Lives
Earn the Gems in the bonus levels
Discovered the Secret Exit in Dino Might!
Earn 10 Relics (gold or better)
Earn 5 Relics
Discover a Gem Path after earning a Color Gem
Defeat N. Cortex
Defeat N. Gin
Earn 21 Gems
Defeat 5 enemies with Coco's Savage Hurricane Spin
Defeat N. Tropy
Discovered the Secret Exit in Road Crash
Discover a Death Route
Defeat Dingodile
Defeat Tiny Tiger
Discover a "?" Bonus Path
Earn 27 Relics (gold or better)
Just "forget" it. Repeatedly.
Fly, then die.
Unlocked the Secret Exit in Unbearable
Die as Crash.
Defeat 5 enemies with Coco's Double Leg Drop
Discover the Secret Exit in Diggin' It
Unlocked the Secret Exit in Hangin' Out
Discover the Secret Exit in Bear Down
Don't feel guilty about jumping on him.
Defeat the Komodo Brothers
Discover the Secret Exit in Air Crash
Defeat Ripper Roo
Do hard time
Seek and destroy
Earn 26 Relics (gold or better)
Earn 26 Gems
Defeat N. Brio
Earn 13 Gems
Earn the Key in Jaws of Darkness
Defeat Pinstripe Potoroo
Defeat Koala Kong
Earn the Key in Sunset Vista
Miss a lot of boxes.
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
Spin away an Extra Life