In this configuration the Allotria Jazz Band was the main headliner of the first jazz festival of Burghausen, won the first price at the festival in Dinslaken and in December of 1970 recorded its first LP. For a while, having signed a record contract with the renowned record companies Ariola and Bellaphon, the band proceeded along commercial routes, giving hits of the 20s and of classical composers as well as original compositions a jazzy face. Jürgen Hinz replaced Heli Wörsching in 1972 und remained , interrupted by a short intermezzo of Jürgen Reinhard, the bassist of the Allotria Jazz Band until 1994, when he switched to guitar. Manfred „Arriva“ Zöbisch replaced Cornelius Griebel on banjo and Hans Rüdiger Richter replaced Jochen Mayeron on drums. For a while the band changed its horn section concept. For two years they had a three piece section with only one trumpet, but then they brought Jörn Pfennig into the band as second clarinetist and singer.
Everything progressed very quickly. The Allotria Jazz Band earned itself a distinguished and a national reputation and did its first concert tours abroad: to Poland, Hungary, Austria, Switzerland, Italy and the Netherlands. Through the Goethe-Institut they then went to Norway and in 1977 to Lebanon, Syria and Jordan.