Many Soviet films contained songs that have become integral parts of Russian culture - they are universally known and loved, even today. Here is a selection of a few famous songs from movies:
"Песня про зайцев" из фильма "Бриллиантовая рука"
"Разговор со счастьем" из фильма "Иван Васильевич меняет профессию"
"Позвони мне, позвони" из фильма "Карнавал"
"Песенка о медведях" из фильма "Кавказская пленница"
If you liked the music of Егор Летов, you might like this song by his wife, Янка Дягилева. Before the music starts, there are some lyrics from another one of her songs that happens to have a lot of participles...
If you'd like to explore more Russian rock-poetry, check out this site, which contains the lyrics of songs by Дягилева and other Russian rock-poets (including Цой!).