Paperboy has a very cool and friendly atmosphere. You get fresh food and very delicious sandwiches! Perfect shop to have lunch after exploring the neighborhood.
A small market open Tuesday to Saturday in a beautiful hall at 39, rue de Bretagne in the 3rd arrondissement. People come here for lunch as much as for shopping. It is the oldest market in Paris and it takes its name from an orphanage, established in the sixteenth century, who collected the lost children and wore red. Especially the Japanese cookshop and the Cous-Cous are worth going there.
You enter La Fidelity and will find a very classic Parisian Brasserie, probably almost empty. Maybe one or two people at the bar. In the middle of this place you will find the stairs that go down to the cave. Have fun!