You might want to spend some time browsing the exhibits at Cruiser Aurora, Alexander Pushkin Museum and Memorial Apartment, or Anna Akhmatova Literary and Memorial Museum. Peter and Paul Fortress, Strelka, and Palace Embankment are well-known local landmarks worth a visit. You can watch performances at Bolshoi Saint Petersburg State Circus, Alexandrinsky Theatre, and Leningrad Center if you're interested in local theater.