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