You'll want to browse the collections at Alexander Pushkin Museum and Memorial Apartment, Erarta Museum and Galleries of Contemporary Art, and State Museum of the Political History of Russia. Sights like Strelka, State Hermitage Museum, and Peter and Paul Fortress are landmarks to visit in the area. You can watch performances at Mariinsky Theatre, Bolshoi Saint Petersburg State Circus, and Alexandrinsky Theatre if you're interested in local theater.