The band became widely known in 2016 with its own song “Bez nei niiak” on the X Factor show. Then came “Khochesh”, “Budu z toboiu!”, “Zori zapalaly”, “Moia kraina”, “Vilni liudy” and “DYM”. In 2020 Bez Obmezhen were the first in Ukraine to tour with drive-in concerts: 13 cities, with the audience listening right from their cars. Since the start of the full-scale war the band has been playing charity concerts; by the band’s own count, more than 100 million hryvnias have been raised to support Ukraine’s defence forces.