You might want to spend some time browsing the exhibits at Irkutsk Regional Museum, Museum of the History of the East-Siberian Railway, or Baikal Museum. Sights like Volkonsky House Museum, Irkutsk Regional Memorial Decembrists Museum, Trubetskoy House, and Irkutsk Academic Drama Theater are landmarks to visit in the area. You can watch performances at Okhlopkov Drama Theater, Irkutsk Musical Theater, and Cheremkhovo Drama Theater if you're interested in local theater.