You might want to spend some time browsing the exhibits at Museum of the Moscow Railway, New Tretyakov Gallery - Museum of Modern Art, or Cathedral of the Annunciation. Cathedral of the Assumption, Ivan the Great's Bell Tower, and Spasskaya Tower 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, Moscow State Academic Chamber Music Theatre, and Moscow Sovremennik Theatre.