You might want to spend some time browsing the exhibits at Gulag History Museum, Moscow Museum of Modern Art, or State Historical Museum. Sights like Lenkom Theatre, Church of the Nativity of the Virgin in Putinki, and Stanislavski and Nemirovich-Danchenko Moscow Academic Music Theatre are landmarks to visit in the area. You can watch performances at Obraztsov Puppet Theatre, Na Strastnom Theater Center, and Tchaikovsky Concert Hall if you're interested in local theater.