I saw Luc Besson's Le Dernier Combat years ago, shortly after Leon was released, and he was enjoying a moment of respectability (before the Fifth Element and Joan of Arc did away with that, and he went on to write such films as the Transporter). Black and white and mostly silent--no words are uttered, if I remember correctly, until the end--it deals with men in a post apocalyptic environment, fighting over what the audience presumes is one of the last, or the last, women.
On youtube, someone mixed scenes of it against Start to Melt by Peter Bjorn and John.
