You might want to spend some time browsing the exhibits at Gulag History Museum, Glinka National Museum Consortium of Musical Culture, or Moscow Museum of Modern Art. Sights like Central Academic Theatre of the Russian Army, Stanislavski and Nemirovich-Danchenko Moscow Academic Music Theatre, and Bolshoi Theatre are landmarks to visit in the area. You can catch a show at Moscow Durov Animal Theatre, Obraztsov Puppet Theatre, and Tchaikovsky Concert Hall.