You might want to spend some time browsing the exhibits at Museum of History of Moscow, New Tretyakov Gallery - Museum of Modern Art, or I.S. Turgenev Museum. Cathedral of Christ the Savior, Pushkin House Museum on Arbat, and Anton Chehov's Theater are landmarks that you won't want to miss. You can check out the local talent at The Man Theater, Theatre on Malaya Bronnaya, and Moscow Arts Theatre.