You should listen to some bands like Kino (Кино) and Chaif (Чайф). Russian people like their songs, especially Kino and it's singer Victor Zoy (Виктор Цой).

Hallo Belka, es gibt viele populare russische alte und moderne Musik.Populare und alte Musik zum Beispiel- Kalinka-Malinka,Oi Moros Moros,Wolga,Kombat,Wsweites Kostrami,aber moderne weiss ich mehr,weil es viele russische Singeren gibt,Ti grustisch(Stas Pjecha),Ja Ustal,Esli chohisch ostatsja(Korni),ich kann soger Fussnote dir geben

Mikhail Krug. Vladimirskiy Central

I would advice you to listen to Zemfira - she is very talented and popular with people, who realy understand something in music. Very nice texts.

every elder chinese can sing these songs. The Night on the suburbs of Moscow Katyusha