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