You might want to spend some time browsing the exhibits at Cruiser Aurora, Pushkin Flat-Museum, or Russian Museum. Peter and Paul Fortress, Alexandrovsky Park, and Strelka are monuments to see when you're exploring the area around State Museum of the Political History of Russia. You can watch performances at Mikhailovsky Theatre, Bolshoi Saint Petersburg State Circus, and St. Petersburg Philharmonia if you're interested in local theater.