St. Richard's Episcopal School provides a comprehensive athletic program designed to develop healthy bodies, provide a lifelong love of sports, develop sportsmanship amongst its players, and produce athletes capable of playing team sports in high school and beyond, whether for enjoyment or for competition. The Dragons and Lady Dragons compete in soccer, volleyball, basketball, cross country and track including students from the 5th through the 8th grade. All traveling teams are co-ed with the exception of volleyball & basketball. Consistent with the Indianapolis Independent School League (IISL), St. Richard's coaches separate girls and boy's basketball teams.
Prior to 5th grade, St. Richard's Episcopal School offers intramural team sports for basketball and soccer, both co-educational. Coaches for these teams are frequently parents who volunteer for the opportunity. This enables young children to learn the sport in a supportive environment.