Here's a list that does not contain potatoes, chicken, beef and grain. I also try to include at least one formula in my kibble mix that does not contain any of these ingredients as well, so I've done previous research.
Nature's Variety Instinct: (They also have new LID formulas as well )
We are having success with Natural Balance's Limited Ingredient Diets, the Sweet Potato and Venison variety. There is a Sweet Potato and Bison variety, too. I don't know if you are trying to avoid sweet potato.