Watch a production of a Russian Ballet. You could watch a video of Chaikovskii's The Nutcracker (Don't laugh, but there is a surprisingly good, animated, Barbi-version of this.) or Swan Lake; or you could attend a live performance of a Russian ballet; or even better yet, you could attend a live performance by a touring Russian Ballet company like the Bolshoi, which often comes to the Kennedy Center or Wolf Trap. If you attend a live performance, please be sure to inform your instructor. Provide details and a scanned image of your ticket when you submit your assignment.
Watch a production of a Russian play. You could watch a video of a Chekhov play, such as The Seagull; or you could attend a live performance; or even better you could attend a live performance by a touring Russian company. If you attend a live performance, please be sure to inform your instructor. Provide details and a scanned image of your ticket when you submit your assignment.
Visit Hillwood Museum & Gardens in Washington, DC (former estate of Marjorie Merriweather Post) and see the Karl Faberge collection. There is also a nice collection at the Virginia Museum of Fine Arts in Richmond.
In the 1960s, a new art form appeared in Russia which we now tend to call the "guitar poets." Arguably two of the more prominent were Bulat Okudzhava and Vladimir Vysotsky. Vysotsky (also a pretty good actor) achieved unbelievable fame in Russia and his bootleg recordings circulated widely. You can find a lot of their recordings now for sale, and there is also a lot available for listening on the web. Since they were Russian, they sang in a highly idiomatic Russian style that is pretty close to near impossible to translate. But have a listen.