You might want to spend some time browsing the exhibits at Russian State Museum of the Arctic and Antarctic, Dostoyevsky Museum, or Faberge Museum. Anichkov Palace, Alexandrinsky Theatre, and Saint Alexander Nevsky Monastery are some of the local landmarks to explore. You can check out the local talent at Oktyabrskiy Big Concert Hall, Bolshoi Saint Petersburg State Circus, and Leningrad Center.