There are millions of them. I'll name a few and post links that have reviews.
Durant's on Central Ave is a Phoenix landmark:
http://maps.google.com...
My Big Fat Greek Restaurant:
Carlos O'Briens Mexican Food Restauranthttp://maps.google.com...
Macayo Restaurants LLChttp://maps.google.com...
If you want something a little out of the ordinary, drive up to Black Canyon City (about 45 minutes from the Biltmore) and eat at the Rock Springs Cafe:
http://www.rocksprings...