I found three excellent places in the neighborhood with the help of my 'Weekend Pas Cher à Paris' guide book. The first is a nifty restaurant called Le Loir dans la thière (3 rue des rosiers). The eclectic decor (a mixture of collage, photography, and retro posters) provides a more artsy, relaxed vibe than you find at most brasseries. In this convivial setting, you will still find all the elements of the French restaurant lunch experience: menus written on chalkboards, desserts on display, and incredibly slow service. If you've lived here for awhile, you get used to the latter; if you're just passing through, it all becomes worth it once you taste the food. I had a mint and goat cheese omelet with flavors mixed to perfection and a mouth-watering berry crumble for dessert. It is definitely worth a stop if you're nearby and have 2 hours to spare...
Another quick stop option is "Mama" Florence Kahn's bakery on rue des Rosiers. Aside from being filled with hip vintage stores, Rosiers is blessed with a high concentration of Jewish restaurants (the area once being the city's Jewish quarter). Mme. Kahn is a Parisian institution, and you would only be denying yourself the greatest gastronomic pleasure by missing out on her apple strudel.