I moved from Chicago to LA about a year and a half ago. I haven't seen my favorite veggie burger mentioned on the boards. I used to go to Wiener's Circle on Clark St. Its north of Fullerton and south of Diversey. I know--veggie burgers don't seem ChowWorthy, but they aren't garden burgers. They're thick and spicy and so damn good.
You can get your onions grilled(my favorite) and all the toppings you could put on their regular burgers or dogs. Wiener's Circle also has fantastic fries, and if you want they also serve cheese fries.
The place is open late late late, and as I remember, the verbal abuse was heightened when the employees were taking an order from any intoxicated patrons. It seemed to me the amount of choices you had to put on your burger or dog increased, and the employee rattling off the list got faster and faster with no masked impatience.
Try it and tell me if its as good as I remember.