If museums are on your list, you might want to check out the upcoming exhibitions at Jordan National Gallery of Fine Arts in Al Abdali. If you want to see more of the museums in Amman, Jordanian Museum of Popular Traditions isn't far either.
If you want to see a show while you're in town, try and grab some tickets at Grand Cinema in Zahran. If you enjoy the show and want to see another, Royal Culture Center isn't far.