Here is the full list of all 25 Isles of Cubes achievements.
Buy your first ship
Collect All Stars on Tutorial Island
Finish the Tutorial Island
Earn your first Gold
Play 10 Cards
Finish Island 1
Finish Island 2
Finish Island 3
Finish Island 4
Finish Island 5
Earn 100 Gold
Earn 1000 Gold
Buy your second ship
Buy your third ship
Buy your forth ship
Buy your fifth ship
Buy your sixth ship
Finish Island 6
Collect All Stars on Island 1
Collect All Stars on Island 2
Collect All Stars on Island 3
Collect All Stars on Island 4
Collect All Stars on Island 5
Collect All Stars on Island 6
Beat the Game and collect all stars!