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, Roman Catholic Parish of the Assumption of the Virgin, and Irkutsk Regional Memorial Decembrists Museum, Trubetskoy House are landmarks to visit in the area. You can watch performances at Okhlopkov Drama Theater, Irkutsk Musical Theater, and Irkutsk Academic Drama Theater if you're interested in local theater.