Over 28 years, he hosted 1,805 episodes of his radio show Les Cinglés du music-hall, based on his own collection of jazz and variety 78s that he had bought in flea markets around the world.

The French section of the shows was based on notebooks entrusted to him by André Cauzard, filled with daily details of pre-war jazz music events.

Averty directed television shows where he applied his singular style to showcase the greatest francophone singers such as Françoise Hardy, Yves Montand, Johnny Hallyday, Sylvie Vartan, Juliette Gréco, Georges Brassens, Dalida, France Gall, Serge Gainsbourg, Gilbert Bécaud, Guy Marchand, Léo Ferré, Tino Rossi, and Jean Sablon, and as well as foreign musicians such as Patty Pravo.

In 1969 Averty directed the TV movie Le Songe d'une nuit d'été, starring Claude Jade, Christine Delaroche and Jean-Claude Drouot, and filmed entirely in bluescreen.

Examples are Sapeur Camembert, based on the eponymous work of Georges Colomb, and a production of Edmond Rostand's classic play Chantecler.