You'll want to browse the collections at Museum of Soviet Arcade Machines, Dostoevsky Museum, and Worker and Kolkhoz Woman. Some landmarks that you won't want to miss include Ostankino Palace, Central Academic Theatre of the Russian Army, and Arch of the Main Entrance of VDNH. You can watch performances at V. Spesivtsev's Moscow Youth Theatre, Helikon-Opera, and Theatre "No Signs" if you're interested in local theater.