This restaurant was recommended on Been there and we decided to check it out. It's set on two floors and is quite small, but stylish. It's definitely not touristy (at least not when we went in March) but very busy with locals. We were lucky to get a table. Service was great. Food and wine delicious. Not sure how expensive it was as someone else picked up the tab - but I think reasonable.
27, rue de la Prefecture
Phone: +33 (0)4 93 85 29 57