Here is the full list of all 37 Mushroom Cats 2 achievements. It takes around 0-1 hour to unlock all of the achievements on Windows.
SHIP DONE!
Help the Cat.
Help the Big Rat.
FISH DONE!
Help the cloud Kittens.
ISLAND 2 DONE!
Help the Cat Master.
ISLAND 3 DONE!
Collect all the Butterflies!
ISLAND 1 DONE!
Help the Cat Mother.
Help the first Cat.