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Прикольное поздравление в день рождения другу!
It appears that the woman is hitting her tits. This is either funny or disturbing depending on how you see it.

Burito feat. Ёлка - Ты знаешь
LYRICS: http://lyricstranslate.com/en/ty-znaesh ... -know.html

Егор Крид - Самая Самая
This is kind of fun. Thanks Rusky Ed for starting this thread!
LYRICS: http://lyricstranslate.com/en/%D1%81%D0%B0%D0%BC%D0%B0%D1%8F-%D1%81%D0%B0%D0%BC%D0%B0%D1%8F-best-one.html

ПЕРЕПУТАЛА
And I'm back with more! There are four sets of lyrics translated to English. They're more or less the same, but different. I don't particularly like the video, but the song is outstanding!
http://lyricstranslate.com/en/pereputala-%D0%BF%D0%B5%D1%80%D0%B5%D0%BF%D1%83%D1%82%D0%B0%D0%BB%D0%B0-i-am-confused.html#songtranslation

Russian girls sing a folk song "Young cossack girl" (Казаченька молода) on Revolution Square, Moscow
According to Google the name of this song translates to Kazachenka young, but from the title of this video we get a better translation.
LYRICS IN RUSSIAN ONLY:
http://www.midi.ru/song/141441/

Black Raven - The Cossack Circle Ensemble
This one has subtitles in both Russian and English.

Рекорд Оркестр - Лада седан
Russian music is off-the-hook. American music is stale and manufactured bullshit.

camel: There's a lot of truth to what you say. American pop music is algorithmically calculated to appeal to the mindless masses. There is very little creativity and absolutely no originality left. It's just empty garbage that only culturally naive individuals could possibly find interesting. No vitality, just trivality is all our music industry produces anymore.

Рекорд Оркестр - Один Против Всех
A tribute to a great man.
LINK: http://rekord-orkestr.ru/2016/01/21/opv/

Катюша
Very traditional version of this song... with lyrics!