You might want to spend some time browsing the exhibits at Central Armed Forces Museum, Vasnetsov House Museum, or Gulag History Museum. Sights like Central Academic Theatre of the Russian Army, Stanislavski and Nemirovich-Danchenko Moscow Academic Music Theatre, and Alexander Goldenweiser's Memorial Flat Museum are landmarks to visit in 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.