West Bank fine dining?
It all depends on what you mean by "fine dining"....but here are a few of the slightly more upscale efforts on Da Best Bank:
O'Brien's Grill on belle chasse hwy
Is the Royal Palm still open as a restaurant, or is it just a catering venue these days? http://www.royalpalmfpc.com/
Cafe Etienne, on 10th St in Gretna: http://cafeetienne.com/
Tony Mandina's, Pratt St, Gretna