You'll want to browse the collections at Stalin's Bunker Museum, The Kremlin in Izmailovo, and Izmaylovo Estate. While you're exploring, swing by Catherine's Palace, Arch of the Main Entrance of VDNH, and Kuskovo Estate to learn a bit about the area. You can watch performances at Osobnyak Theater, Impromptu Children's Music Theater, and Moscow Sovremennik Theatre if you're interested in local theater.