You might want to spend some time browsing the exhibits at Bunker-42 on Taganka, Retro Auto Museum, or New Tretyakov Gallery - Museum of Modern Art. Church of St. Martin the Confessor, Znamenskiy Monastery, and Cathedral of the Assumption are monuments to see when you're exploring the area around Moscow International House of Music. You can check out the local talent at Taganka Theatre, Glas Russian Spiritual Theatre, and Mikhail Shhepenko's Moscow Theater.