For me this is still the epitomy of Russian Music."Chelovek i koshka", lit. "Man and Cat". There's two versions of this song I like a lot. One by "Nol" ("Zero") https://www.youtube.com/watch?v=jaL79kDUzPM and by Anatoly Kotlinsky, the guy you linked. Both are good for completely different reasons. It's probably my favorite Russian song - aside from maybe Katyusha.
song links for this ep