Le Vent d'est (1970) *

Not really a Jean-Luc Godard's film, but a collective effort signed by the Dziga Vertov Group. Total nonsense, practically incomprehensible. Its main thesis seems to be that both Western Capitalism and Soviet Communism are equally evil. Or not. Watch "British Sounds" (1970) or "Luttes en Italie" (1971) instead. They are even more radical, and they actually make sense.