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