Here is the full list of all 25 Arizona Rose and the Pirates Riddles achievements.
Unlocked all power-ups
Unlocked 10 stages of the game
Made extensive use of the Map
Achieved a x6 points multiplier
Solved 40 levels with no mistakes
Scored a total of 200000 points in the game
For collecting 100 sea lifes in a game
Unlocked 5 stages of the game
Scored a total of 100000 points in the game
Solved 15 levels with no mistakes
For collecting 50 sea lifes in a game
Scored a total of 40000 points in the game
For collecting 20 sea lifes in a game
Solved 5 levels with no mistakes
Unlocked 2 stages of the game
Attempted the same level 5 or more times
Achieved a x12 points multiplier
Solved a level with effective use of hints
For completing 15 levels with 0 or 1 mistakes left
For completing 25 levels with 0 or 1 mistakes left
Made extensive use of the Sword
Made extensive use of the Medallion
Made extensive use of the Eye