This is probably the funniest film Marcel Hanoun ever made. He took credit with the pseudonym "Marcel-H. Lecrivan". The names of clients in the butchery give the background story away: Madame Verdoux wants the most tender meat for her husband Monsieur Verdoux. There is also a certain Madame Lardru (not Landru). In the many radio reports (on less comical events in the world) one report addresses the "glissements progressifs du SIDA ("successive slidings of AIDS"), no doubt a wink to Hanoun's friend Alain Robbe Grillet's film "Glissements progessifs du plaisir".
"Boucherie fine" is one of two 80s films of Marcel Hanoun in which a very young Kristin Scott Thomas (who was mostly doing television work then) plays a role. The other film is "Cela s'appelle l'amour" that was made between 1984 and 1989.