You might want to spend some time browsing the exhibits at Geological Museum, Baikal Museum, or City History Museum. Sights like Volkonsky House Museum, Irkutsk Academic Drama Theater, 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 Cheremkhovo Drama Theater if you're interested in local theater.