The grammar link didn't work. I actually took three years of Russian in college but I don't remember much--I CAN sing "The Old Gray Mare Ain't What She Used To Be" in Russian, recite the alphabet, phonetically read it, know some dirty words (thanks to a professor who worked for the CIA guarding defectors by taking them to strip clubs).
As for cool tunes in Russian, I'll take Regina Spektor any day:
https://www.youtube.com/watch?v=Nysh61DI32w