The shop of Densetsu no Stafy 4. Costumes and extra HP can be bought there. After the player beats Dejeel at least once music can also be bought. It is unlocked by completing the level Manianko appears in.
The shop in The Legendary Starfy can be accessed from Moe's Case. It is not known who runs the shop, but most fans assume it's Moe being in his case. It is available first thing and only sells costumes.