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