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