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 10 Relics (gold or better)
Seek and destroy
Earn 99 Lives
Earn the Key in Sunset Vista
Defeat N. Cortex
Defeat N. Brio
Earn 42 Gems
Defeat Pinstripe Potoroo
Die as Crash.
Defeat Koala Kong
Earn 21 Gems
Die.
Avoid whatever he's flinging at you.
Have your bazooka ready.
Defeat 5 enemies with Coco's Savage Hurricane Spin
Shoot 5 of them in a single level.
Shoot a background UFO in Future Tense.
Discovered the Secret Exit in Dino Might!
Discovered the Secret Exit in Road Crash
Discover a Gem Path after earning a Color Gem
Discover a Death Route
Earn 5 Relics
Defeat N. Gin
Defeat N. Tropy
Miss a lot of boxes.
Defeat Ripper Roo
Defeat 5 enemies with Coco's Double Leg Drop
Discover the Secret Exit in Diggin' It
Fly, then die.
Unlocked the Secret Exit in Unbearable
Discover the Secret Exit in Air Crash
Defeat Dingodile
Defeat 5 enemies with Coco's Spin
Defeat Papu-Papu
Spin away an Extra Life
Enter a Bonus Round after collecting 3 Character Tokens
In a single level, spin an enemy into another enemy twice
Defeat Tiny Tiger
Discover a "?" Bonus Path
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.
Earn the Key in Jaws of Darkness
Earn 13 Gems
Earn 26 Gems
Earn 26 Relics (gold or better)
Just "forget" it. Repeatedly.
Earn 27 Relics (gold or better)
Shoot the Imposter
Earn the Gems in the bonus levels
Earn 30 Relics (gold or better)
Do hard time
Seek and destroy. Again.