You might want to spend some time browsing the exhibits at Cruiser Aurora, Russian Museum, or Erarta Museum and Galleries of Contemporary Art. Sights like Alexandrovsky Park, Peter and Paul Fortress, and Strelka are landmarks to visit in the area. You can watch performances at Arkady Raykin Variety Theater, Bolshoi Saint Petersburg State Circus, and Alexandrinsky Theatre if you're interested in local theater.