If you want to improve Russian, you need to listen songs with the singers which have a good pronounsation. The best way is to listen to the old school singers (from the USSR). For example, the band "Браво" (with Валерий Сюткин).

http://m.youtube.com/watch?v=n9c0gOMEWRg. крылатые качели. песня из детства

Виктор Цой, Владимир Высоцкий, ДДТ, Чайф, Сплин, Анимация, Земфира, Ночные снайперы))

Ноль, Виктор Цой, Владимир Высоцкий, Зоя Ященко/Белая Гвардия are examples of good Russian music. It depends... what kind of music do you like, Jessica?

i'm not sure you can use modern russian songs for learning. it's mostly untranslatable bullshit 8) try songs from old USSR cartoons, they are nice and catchy. http://www.youtube.com/watch?v=iYxh8Sypazg