Here is the full list of all 11 Lost in Paradise achievements.
Finish a Tile Swap puzzle on Hard Difficulty in less than 720 seconds
Finish a Sliding Block puzzle on Hard difficulty in less than 360 seconds
Finish a Tile Rotation puzzle on Hard difficulty in less than 240 seconds
Finish the game on Easy difficulty
Score consecutive hits on the monster in the final battle.
Finish a Tile Swap puzzle on Easy Difficulty in less than 180 seconds
Finish a Tile Rotation puzzle on Easy difficulty in less than 60 seconds
Finish the game on Hard difficulty
Finish the game on Easy difficulty without using a single puzzle skip or hint.
Finish the game on Hard difficulty without using a single puzzle skip or hint
Finish a Sliding Block puzzle on Easy difficulty in less than 80 seconds