The Frenchmen, located at the end of the French Quarter.
The Villa Convento http://www.villaconvento.com
The Marriott is a bit tired
I love staying at the Monteleone when I can get a good rate there.
Not the W New Orleans if you want good service.
B&Bs are an excellent option in New Orleans. I personally stay at Ashtons Bed & Breakfast every time.