Here is the full list of all 19 Cursed Island achievements.
The darkness has tasted your powers
Now things are getting more serious
The survivor of too much will not stop
Unlocked new character!
You have defeated the keeper of the Gate
Escape from the island in one hour
Complete the game on the difficulty of "Crystal Madness"
Complete the game without a single death
Create one of the most powerful weapons
Defeat the Great Worm
Collect them all!