You might want to spend some time browsing the exhibits at Geological Museum, Baikal Museum, or City History Museum. Explore landmarks like Volkonsky House Museum, Irkutsk Academic Drama Theater, and Irkutsk Regional Memorial Decembrists Museum, Trubetskoy House. You can watch performances at Okhlopkov Drama Theater, Irkutsk Musical Theater, and Cheremkhovo Drama Theater if you're interested in local theater.