You might want to spend some time browsing the exhibits at Museum of the Great Patriotic War, Battle of Borodino Panorama Museum, or Pushkin House Museum on Arbat. Sights like Novodevichy Cemetery, Novodevichy Convent, and Triumphal Arch are landmarks to visit in the area. You can watch performances at Great Moscow Circus, The Cherry Orchard Theater, and State Theatre of Actor if you're interested in local theater.