You might want to spend some time browsing the exhibits at Armoury Chamber, Cathedral of the Annunciation, or Gallery of 19th and 20th Century European and American Art. Cathedral of Christ the Savior, Cathedral of the Assumption, and Ivan the Great's Bell Tower are some of the local landmarks to explore. You can watch performances at Moscow International House of Music, The Cherry Orchard Theater, and Maly Theatre if you're interested in local theater.