Galatoire's - I've been to several things upstairs, always great.
Those would be my top 3 choices
Avoid the Grill Room at Windsor Court. I've been to 3 dinners in the private rooms, and they have all sucked. Service was bad and the waitstaff was inept, food comes out cold, of 4 tables, on two occasions, 1 was left without food until after the other tables were getting dessert. It was really bad. And, we eat at the Grill room a few times a year, and love it, and it is always good. I think for private room parties they just suck.
Been to some at Ralph's and it was always good too.