Avsenik's influence over Cleveland-Style music began in 1958 when Johnny Pecon's English lyrics transformed Slavko's "Tam kjer murke cveto" into a Greatest All-Time Cleveland-Style Hit, "Little Fella". Since then, Cleveland-Style orchestras have recorded well over 200 Avsenik songs including nearly sixty by the Hank Haller Ensemble and as many more by Fred Ziwich, Fred Kuhar, the Fairport Ensemble, Al Markic, Roger Bright, Al Tercek, and Cilka Dolgan. Avsenik tribute bands in North America include Duke Marsic and his Happy Slovenians (Cleveland, 1964 to 1990), the Alpine Sextet (Cleveland, 1976 to 1996 and 2010 to present), Ansambel Veseli Godci / Veseli Farani (Cleveland, 1996 to present), Marjan Kramer, Zadnja Kaplja (Chicago, 2011 to present), Planinski Kvintet (Toronto Canada ) and Iskre (Canada). Many Slovenian polka/oberkrainer style bands in Europe are also in tribute of Avsenik's music, including Slovenia's Hišni ansambel Avsenik and Gašperji/Die Jungen Oberkrainer. In sheer volume, Avsenik's compositions rank him with Slovenian folk music, Matt Hoyer, and Dr. William J. "Doc" Lausche as the major tributaries feeding the Cleveland-Style repertoire. But the breathtaking beauty pervading his waltzes... "Pastirček/Hirtenlied", "Slovenia/Slovenija, odkod lepote tvoje", "Veter nosi pesem mojo/The wind song", "Čakala bom" ("I shall wait"), "European Waltz", "Na svidenje" ("So long"), "On the Bridge", and "Argentina", to name just a golden few... best characterize the profound nature of his impact.