Richard III is one of several history plays that Shakespeare wrote, and is essentially a sequel to his three earlier Henry VI plays. However, since it's very unlikely that students will have read Shakespeare's history plays prior to reading Richard III, the works of the Bard that are most likely be most useful for teaching the play are Shakespeare's tragedies and comedies, particularly plays like Romeo and Juliet.
Richard III has been adapted to film and TV several times, as well. The most well-known film adaptations are the 1965 Richard III (starring Laurence Olivier as the titular character) and the 1995 Richard III (starring Ian McKellan as the same). Richard has also been portrayed...