If you mean "best" in terms of gastronomy, I would have to say Restaurante Basseri in Pamplona
http://www.restaurantebaserri.com (restaurant in the very back behind bar) or Meson los Templarios in Villacazar de Sirga,
http://www.restaurantebaserri.com.
But "best" in terms of total experience would be a hard fought contest among many nights in an albergue sitting around the table and sharing pleasant conversation, dreams, fears, wonderment, all the human emotions. One that comes to mind was the night we celebrated the 80th birthday of a man who was walking the Camino in memory of his son who had died several years earlier. Or the dinner in Arzua in which a firefighter from Malaga, after producing an amazing "mushroom rice" dinner with very humble ingredients, broke down as he told us that we would be arriving in Santiago the next day, on the anniversary of his wife's suicide. Or the dinner in San Remon da Retorta in which a young pilot for SpanAir learned he was getting fired and didn't need to report back to work. I don't say these things to be melodramatic, but just to say that the Camino provides you with an amazing opportunity to get in touch with your humanity and your mortality.
I'm all in favor of good food, and there are many places to eat well (NOT with a menu del peregrino, however), but on the Camino, I would forego the good food for the good company any day.
Oh, but if by "French Caminos" you don't mean "
Camino frances", my restaurant recommendations are not what you're looking for! On the LePuy route, my favorite meal bar none was in the little restaurant in the hotel in Saugues. It wasn't so much because of the food (though the food was good and the cheese cart AMAZING) but because when the owner learned that my dad had participated in the Normandy invasion, it became a long, emotional conversation about French-US relations, what is evil, what would we have done, etc. (and this was in French, and I don't speak French!)