You might want to spend some time browsing the exhibits at State Museum of the Political History of Russia, Alexander Pushkin Museum and Memorial Apartment, or Erarta Museum and Galleries of Contemporary Art. Peter and Paul Fortress, Strelka, and State Hermitage Museum are well-known local landmarks worth a visit. You can watch performances at Bolshoi Saint Petersburg State Circus, Alexandrinsky Theatre, and Mariinsky Theatre if you're interested in local theater.