In a large bowl, mix cornmeal, flour, sugar, baking powder, and salt. In another bowl, mix milk, eggs, and oil. Stir liquid into dry ingredients just until blended; don't overmix. fold in green chiles and cheese.
Pour into a well-greased 9 x 13 pan. Bake at 400 degrees until top turns brown and bread starts to pull away from the sides of the pan. (Check after 30 minutes).