I've always enjoyed Tartine. We generally bring two bottles with us, as there's always a line... one bottle for the line, the other for dinner! 253 West 11th Street, GV
If "any part of the city works", I'd suggest you also ask this question on the Outer Boroughs board, as non-Manhattan suggestions here will likely be taken down by the moderators.
Daisy May's BBQ - 46th and 11th - you might want to bring your own corkscrew because most people bring beer. That said I have had some nice adventures pairing wine and BBQ and I grew up on great BBQ in the south.