You might want to spend some time browsing the exhibits at NB Gallery, Pushkin Museum of Fine Arts, or Pushkin House Museum on Arbat. Cathedral of Christ the Savior, Arbat Street, and Armoury Chamber are some of the notable landmarks to see in the area. You can watch performances at Aparte Moscow Drama Theater, Glas Russian Spiritual Theatre, and Bolshoi Theatre if you're interested in local theater.