One day, the twins Bubby and Bobby, intermarried with Bub and Bob, playing together to the tower where they live, are transformed into bubble-blowing dragons by the evil Dark Super Great Dragon that takes possession of the tower. The twins must climb the 80 floors of the tower to take seven colorful potions, free it from his clutches and regain their human forms.

Bubble Memories (バブルメモリーズ) is the sequel to Bubble Symphony and is the fifth Bubble Bobble game (although it is listed as being the third). Unlike Bubble Symphony, this game stars only two dragons, Bub and Bob, like the original Bubble Bobble.