Chicken fried steak is generally superior to fried chicken at restaurants. However, when considering my mom's recipes for both, I might give the edge to chicken.
In terms of vegetarian foods, chile relleno is pretty good. It has cheese in it, so it's not vegan (sorry, TP4). Oh, actually, my mom's fried eggplant is freaking amazing; it tastes almost as good as the chicken, especially when gravy is applied.