You'll want to browse the collections at State Historical Museum, Cathedral of the Annunciation, and Armoury Chamber. Sights like Bolshoi Theatre, Moscow Kremlin, and Ivan the Great's Bell Tower are must-sees while exploring the area. You can watch performances at Moscow Sovremennik Theatre, A.R.T.O. Moscow Theatre, and A.R.T.O. Theater if you're interested in local theater.