In the Quarter, I like Arnaud's Jazz Brunch. Great atmosphere and food. You can get brunch and/or lunch food.
Muriel's has a good reasonably priced brunch.
Stanley is more casual for breakfast, but often crowded.
Mr B's is another option.
Not sure if Criollo serves brunch, but you might want to check the site to see.
I like brunch at Luke just across Canal from the FQ.