Of course, the cafe-trip must be started from the most iconic location of the most iconic French film of the last quarter century. Interior of Cafe Des Deux Moulins in Montmartre has been changed slightly from what you saw in film, but it's still cozy and cute place. And there are Amelie's poster all over the place.
This cafe, famously used in Richard Linclater's "Before Sunset" (second film in "Before" trilogy), is a bistro, well known for its burgers.
This restaurant, opened in 1849, is extremely interesting by itself: Polidor's interior of the restaurant is basically unchanged for over 100 years, and the style of cooking remains that of the late 19th century. Plus, some of the best shots of Woody Allen's "Midnight in Paris" are set here, such as Gil's conversation with Ernest Hemingway.
Another iconic restaurant, that is almost stayed the same since 1920's where the hero of "Midnight in Paris" arrives from our age, Maxim's, is kind of expensive. So, visit it if you are really ready.
This well known cafe, situated across from the Luxembourg gardens, is one of the many locations in "Paris, je t'aime" almanach. Remember the separated couple that meet meet here for one last drink before they officially divorce and get served by co-director Gérard Depardieu.