The Whole Foods Market cafes vary in their offerings from store to store, but the Lower Greenville store's cafe has a fair organic offering. One side of their salad bar is entirely organic. Many of the dishes in the deli counter use organic ingredients, but of course under the new "organic" guidelines, they can't label the offering organic if any non-organic ingredients are used. They apparently don't cook to order currently, so the deli involves selecting items ala carte and taking them to a table or out. One subtle but important aspect is that you can get organic beverages - juice, coffee, tea, beer, wine, some soft drinks, and probably even milk and soy milk. The atmosphere may not be fine dining, but I think the food is quite good.
One thing about Whole Foods is that the staff knows about organics and can tell you instantly what's what. I don't know of another place that does that. I have been disappointed with Central Market's knowledge/appreciation/offering of organics to the point that I seldom go there anymore, for example. It isn't an accident that top chefs tend to advise using organic ingredients, although some may do so because of superior flavor and quality. By and large, the only way to assure that food is as pure as possible is to select the ingedients and fix it for oneself.
Two places whose organic offerings I don't know about are Veggie Gardens (Veggie Garden - 510 West Arapaho Road, Richardson, TX 75080. 972-479-0888) and Roy's (Roy's Nutrition Center - 130 Preston Royal Village, Dallas, TX 75230. 214-987-0213). I suspect they may have organic offerings, but I can't say for sure. If I find out, I'll post it.