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