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