Here is the full list of all 14 Drop Doll achievements.
First time entering the game's home page.
First time entering the level selection page.
Enter the first level.
Enter the second level.
Enter the third level.
Enter the fourth level.
Enter the fifth level.
Enter the sixth level.
Enter the seventh level.
Enter the eighth level.
Enter the ninth level.
Enter the tenth level.
Enter the eleventh level.
Enter the twelfth level.