You might want to spend some time browsing the exhibits at Faberge Museum, Russian Museum, or Museum of the Imperial Porcelain Factory. Smolny Cathedral, Tauride Palace, and Anichkov Palace are well-known local landmarks worth a visit. You can watch performances at Oktyabrskiy Big Concert Hall, Leningrad Center, and Bolshoi Saint Petersburg State Circus if you're interested in local theater.