You might want to spend some time browsing the exhibits at Russian State Museum of the Arctic and Antarctic, Dostoyevsky Museum, or Anna Akhmatova Museum at the Fountain House. Feodorovskoy Cathedral, Anichkov Palace, and Tauride Palace are landmarks that you won't want to miss. You can watch performances at Oktyabrskiy Big Concert Hall, Leningrad Center, and St. Petersburg Comedy Theatre Akimov if you're interested in local theater.