Whisk eggs and milk together in a medium-sized bowl. Scoop flour onto a plate. Mix cornmeal, bread crumbs, salt, and pepper on another plate. Dip tomatoes into flour to coat. Then dip tomatoes into milk and egg mixture; dredge in breadcrumbs to completely coat.
Heat oil in a large deep skillet to 375 degrees F (190 degrees C). Place tomatoes in hot oil in batches of 4 or 5, to prevent them from touching; fry until crisp and golden brown on one side, then flip and fry on other side.
Transfer fried tomatoes to a paper towel-lined plate to drain. Repeat with remaining tomatoes.