You'll want to browse the collections at Gulag History Museum, Modern Russian History Museum, and Moscow Museum of Modern Art. Sights like Central Academic Theatre of the Russian Army, Cathedral of the Immaculate Conception, and Church of the Nativity of the Virgin in Putinki are must-sees while exploring the area. You can watch performances at Tchaikovsky Concert Hall, Obraztsov Puppet Theatre, and Praktika Theater if you're interested in local theater.