Cut the tomatoes into ½-inch thick slices, discarding the ends.
Whisk the milk and eggs.
Put the flour in one shallow dish or plate.
Combine the breadcrumbs with cornmeal, salt and pepper, and put that on another plate.
Dip the tomato slices into the flour to coat.
Next, dip them into the egg mixture.
Finally, dip them into the breadcrumb mixture to coat completely.
Add about ½ inch of oil to a skillet and then heat it over a moderate heat.
Add the coated tomato slices and cook, in however many batches you need so the tomato slices don’t touch in the pan.
Once crisp and golden underneath, flip the tomatoes over and cook the other side.
Drain on paper towels and serve hot, with ranch dressing or whichever dipping sauce you prefer.