Green chile on a burger is definitely a winner.
Naturally the small mom and pop burger places in New Mexico have the best green chile cheeseburgers, but Lotaburger and to a lesser extent Whataburger have good green chile cheeseburgers for chain restaurants.
I wouldnt dare order a chile cheeseburger outside of New Mexico or maybe Arizona, for fear of the place putting that nasty bean chili on my burger instead of the chile plant variety.