I am French too (just like Eck, my nutty fellow), but unlike him, I enjoy French cuisine.
Since it's so incredibly varied, I do not know where we should start with.
Entrecôte or Steack au poivre are very, very basic... And it's just meat! There's nothing fancy with it!
A Coq-au-vin is already a more complex dish (and hence, probably more interesting).
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Anyway, if you really like "rich" food, are not afraid of your weight, and want to try something typical, try some "confit de canard" (that's duck, if they have it), with for instance "pommes sarladaises". A real dish for winter, I'd say!
Or you may want to switch the duck with a goose, it works fine too.
There's soooo many dishes to try! French cuisine is the most varied in the world (or rather, it can compete with the Chinese one).
Every region in France has an interesting speciality: Bar au beurre blanc, Kig-ha-Farz, Flammekueche, Boeuf bourguignon, Pissaladières, Bouillabaisse, Potée auvergnate, Andouillette de Troyes, Raclette, Terrines, Piperade basquaise, Ortolans, Cotriade, Fondues, Aligot, Brandades, Cassoulet, Clafoutis, Carbonade flamande, Macarons, la Ratatouille, les Quenelles, le Tian, Nougat, Hachis parmentier, Gratin dauphinois, Tartiflette, les Chapons, Crèpes bretonnes... etc...
Well, we could try to sum them all night long.
(and we should not forget the French cheeses too: they are in fact way more "typical" than Froglegs and snails. Of course, you have to be "accustomed" to their often very strong tastes)
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My father often thought that French nationality was in fact defined by cuisine and cooking. While this theory seems pretty odd at first glance, well, it could explain why Alsatians or Bretons define themselves as Frenchmen (even if French is not their native language), while we rejected the Wallons (Any people with a regional dish as tasteless as the Waterzoie should not be worth being French!).
And any German who would wonder if they eventually crossed the French border should try an Alsatian cheese to get convinced they really did it.
