To uncover the story portion within the game a player must successfully complete a character's song in play mode and hit the Revue Stage. Before you can view the stories of Hello Kitty Fantasy Theater, you will have to visit the "Cast Members" segment first. In here, they can select the character that they want first which will bring them to the character screen. At the character screen Stories can be reviewed and seen at the player's pace.
To unlock each Sanrio Character's Story Mode, you have to reach the Revue Stage scene while playing the puzzle game. There are a lot of ways to extend your game time.