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 30 Relics (gold or better)
Seek and destroy. Again.
Shoot a background UFO in Future Tense.
Earn 99 Lives
Shoot 5 of them in a single level.
Shoot the Imposter
Die.
Earn 42 Gems
Earn the Gems in the bonus levels
Discovered the Secret Exit in Road Crash
Avoid whatever he's flinging at you.
Discovered the Secret Exit in Dino Might!
Earn 10 Relics (gold or better)
Earn 5 Relics
Earn 21 Gems
Defeat 5 enemies with Coco's Savage Hurricane Spin
Have your bazooka ready.
Defeat N. Cortex
Discover a Gem Path after earning a Color Gem
Defeat N. Gin
Discover a Death Route
Defeat N. Tropy
Defeat Dingodile
Defeat Tiny Tiger
Just "forget" it. Repeatedly.
Earn 27 Relics (gold or better)
Unlocked the Secret Exit in Hangin' Out
Discover the Secret Exit in Bear Down
Discover the Secret Exit in Diggin' It
Fly, then die.
Unlocked the Secret Exit in Unbearable
Defeat 5 enemies with Coco's Double Leg Drop
Discover the Secret Exit in Air Crash
Die as Crash.
Defeat the Komodo Brothers
Don't feel guilty about jumping on him.
Defeat Ripper Roo
Discover a "?" Bonus Path
Earn 26 Relics (gold or better)
Do hard time
Seek and destroy
Earn 26 Gems
Earn the Key in Jaws of Darkness
Earn the Key in Sunset Vista
Earn 13 Gems
Spin away an Extra Life
Defeat 5 enemies with Coco's Spin
Defeat N. Brio
Defeat Pinstripe Potoroo
Defeat Koala Kong
Miss a lot of boxes.
Defeat Papu-Papu
Enter a Bonus Round after collecting 3 Character Tokens
In a single level, spin an enemy into another enemy twice