I moved from Los Angeles to New Orleans a few years ago, and I have to say - I miss the food.
While there are some restaurants that serve very good regional cuisine, there's not much in the way of ethnic food available at all.
No good Chinese, no Persian, mediocre Indian (very limited selection), no great Mexican, no Russian that I know of, etc.... There are thousands of Middle Eastern places, and a helluva lot of sushi spots, but I want more choice. I know Los Angeles is a much larger city than NOLA, and I know its more of a melting pot, so I guess a wider variety of restaurants is expected.
Whenever I tell someone from LA I'm in New Orleans, they always respond with "you must LOVE the food", and I do - but I have to say, there's much more really good food in Los Angeles.