You might want to spend some time browsing the exhibits at New Tretyakov Gallery - Museum of Modern Art, Museum of History of Moscow, or I.S. Turgenev Museum. Cathedral of Christ the Savior, Novodevichy Convent, and Armoury Chamber are well-known local landmarks worth a visit. You can check out the local talent at Moscow International House of Music, Anton Chehov's Theater, and Taganka Theatre.