Ah the French! This movie is so captivating but confusing at the same time! A man has a mustache but he shaves it and after that you don't know what to believe- it might be hard to riff but just take a gander for the weirdness of it- it's a suspenseful but contemporary and is filmed in French with English sub-titles
http://m.imdb.com/title/tt0428856/
http://www.rottentomatoes.com/m/moustache/