I grew up listening to Ukrainian "urban romance" songs of the late 1960-s, like "The Kyiv Waltz" (("Знову цвітуть каштани, хвиля дніпровська б"є..."), "Days and Nights Fly Like Seagulls" ("Лeтять, ніби чайки, і дні, і ночі, в синю даль..."), "My Love" ("Кохана") (this one's lyrics was written by one of my parents' friends, Igor Illich Barakh, who was Jewish but wrote wonderful poetry in Ukrainian - now lives in Israel), and other. The other "stream" was "modernized" Ukrainain folk motifs, like "Red Heady Plant" ("Чeрвона Рута," see http://en.wikipedia.org/wiki/Chervona_Ruta_(song
)), written by Volodymyr Ivasyuk and performed by Sofia Rotaru. (Ivasyuk died at mysterious circumstances just a few years after the release of "Chervona Ruta," was found hanged on a tree in a forest, and there is a version that he was killed by the KGB, to stop the powerful wave of Ukrainian popular music in the 1970-s.)
After ~1971, when V. Shcherbyts'kyj became the General Secretary of the Ukrainian Communist Party, the radio and TV programs where they played Ukrainian pop songs were dramatically cut or shut down, and the radio started to play, all day long, songs like "I love you, Russia."
But at that time, yours truly was already under the spell of The Beatles.