You might want to spend some time browsing the exhibits at State Historical Museum, Moscow Museum of Modern Art, or Cathedral of the Annunciation. Stanislavski and Nemirovich-Danchenko Moscow Academic Music Theatre, Kremlin Arsenal, and Alexander Goldenweiser's Memorial Flat Museum are landmarks that you won't want to miss. You can watch performances at Chekhov Art Theater, A.R.T.O. Theater, and A.R.T.O. Moscow Theatre if you're interested in local theater.