You might want to spend some time browsing the exhibits at Vasnetsov House Museum, Central Armed Forces Museum, or Gulag History Museum. While you're exploring, swing by Stanislavski and Nemirovich-Danchenko Moscow Academic Music Theatre, Bolshoi Theatre, and Resurrection Gate to learn a bit about the area. You can watch performances at A.R.T.O. Theater, A.R.T.O. Moscow Theatre, and Moscow Sovremennik Theatre if you're interested in local theater.