You might want to spend some time browsing the exhibits at Russian State Museum of the Arctic and Antarctic, Dostoyevsky Museum, or Faberge Museum. Saint Alexander Nevsky Monastery, Anichkov Bridge, and Anichkov Palace are landmarks that you won't want to miss. You can watch performances at Oktyabrskiy Big Concert Hall, Alexandrinsky Theatre, and Mariinsky Theatre if you're interested in local theater.