Check out
www.dogfriendly.com they have a pretty good list of places that allows dogs.
In Southern California (Orange County), there are a couple of outdoor malls that are dog friendly and you can take them into most stores there including the department stores. Jazzie loves going to them and has been in stores like Borders Book Store & Victoria's Secrets!
Other places that allows dogs (at least by me) are Home Depot, Lowes & some Barnes & Nobels. She is also allowed at many restaurants in the patio dining area like Red Robins & Mimi's.