You might want to spend some time browsing the exhibits at Russian State Museum of the Arctic and Antarctic, Dostoyevsky Museum, or Faberge Museum. Beloselsky-Belozersky Palace, Anichkov Palace, and Alexandrinsky Theatre 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 Rimsky-Korsakov Conservatory.