The Alley Cat Players, LBJ and LASA's extracurricular theater troupe, presents several productions a year under the guidance of Theater Arts teacher MJ Alexander. Students may elect to study acting in Theater I or stagecraft in Technical Theater I first, followed by Advanced Theater classes in subsequent years. Many Alley Cat productions hold open auditions for all LBJ and LASA students, while others are staffed from theater classes.

Past productions include a post-apocalyptic version of Midsummer's Night Dream, the rocking musical Footloose, Arthur Miller's After the Fall, and Dark of the Moon, a 1940's play written by Howard Richardson and William Berney.