You might want to spend some time browsing the exhibits at Irkutsk Regional Museum, Baikal Museum, or Sukachev Fine Arts Museum. Sights like Volkonsky House Museum, Irkutsk Regional Memorial Decembrists Museum, Trubetskoy House, and Irkutsk Regional Memorial Decembrists Museum, Volkonsky House are landmarks to visit in the area. You can watch performances at Okhlopkov Drama Theater, Irkutsk Musical Theater, and Irkutsk Folk Drama Theater if you're interested in local theater.