I had a four day visit to Paris. I was lucky enough to have time to squeeze in seeing a couple french films. One of my favorite things to do while in Paris is to see a French Film at least once every visit. I try to go to different art houses every time. You will find plenty of these theaters dotted around the city. One of the best ones I think I have been to is called Le Desperado in the 5th arrondissement of Paris. It has a charming exterior and quiet screens. Many of the theaters hold mini festivals featuring films by the same director. The last time I was there it was Hitchcock. Its only a few euros for three films. Also, when there are no subtitles it really helps with your secondary language skills!
I enjoy it and makes you look like a local. Plus give respect to where respect is due. France is the birthplace of cinema after all.