Le Bateau Ivre
I usually don't eat much before a paid date (unless it's a dinner date, in which case we usually go to a nice place that serves several courses), so when it's late at night, and I just finished having sex for a few hours, I'm often ready for some food and some wine. Based on the recommendation of more than one UG poster, I recently visited Le Bateau Ivre.
EHHa, I would say that this is a good place to have a glass or three of wine after work, and possibly a meal--as long as you don't order what I ordered. I should have known better than to order the duck confit at that late hour. Then again, Le Bateau Ivre should have known better than to serve it too me. Or, they should have prepared it again for the late crowd. The duck had been sitting out waaaaay too long, and the meat was pretty well fucked.
On the plus side, when I felt like having a glass of champagne, I asked the bartender what would be good to drink that particular evening (as in, what was moving fast enough that it would still be good), he recommended a champagne that he opened fresh in front of me.
Since you seem so terribly concerned with the authenticity of a French bistro in New York, I can tell you that everybody working there at that time was a native speaker. It was too loud to hear them that well, so don't ask me to place the accents.
As far as I'm concerned, this is a late-night restaurant, and not a place I would go out of my way to visit during normal dinner hours. If I were not going out of my way, I'd be totally ok with having some wine or whatever. The wine selection by the glass is better than most places. I may go again some late night when I am hungry, and order something or other from the grill.