You'll want to browse the collections at Vasnetsov House Museum, Moscow Museum of Modern Art, and State Historical Museum. Bolshoi Theatre, Stanislavski and Nemirovich-Danchenko Moscow Academic Music Theatre, and Moscow Kremlin are well-known local landmarks worth a visit. 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.