You might want to spend some time browsing the exhibits at Museum of the Great Patriotic War, Battle of Borodino Panorama Museum, or Garage Museum of Contemporary Art. Sights like Novodevichy Cemetery, Novodevichy Convent, and Triumphal Arch are landmarks to visit in the area. You can watch performances at Great Moscow Circus, Vakhtangova Theatre, and Theater of Modern Drama if you're interested in local theater.