From the Super Mario Wiki
The Baseball Kingdom is the island where Mario and his friends meet for their baseball games in Mario Super Sluggers. Lakitu mentions that Princess Peach built this island so her friends could play baseball. There are a total of nine playable stadiums that make up this locale, which include the following:
Because of the day/night feature, most stadiums can be chosen regardless of the time of day. However, there are certain stadiums that are only available at a certain time of day prior to selecting them. The stadiums that require the night setting are Luigi's Mansion and Bowser Castle. The stadium that requires the daytime setting is the Bowser Jr. Playroom.