You might want to spend some time browsing the exhibits at State Historical Museum, Cathedral of the Annunciation, or Armoury Chamber. Resurrection Gate, Moscow Arts Theatre, and Kremlin Arsenal are some of the notable landmarks to see in the area. You can watch performances at Bolshoi Theatre, Maly Theatre, and Stanislavski and Nemirovich-Danchenko Moscow Academic Music Theatre if you're interested in local theater.