Core the tomatoes, cut off the ends, then slice them into quarter-inch rounds. Dry them with a paper towel then sprinkle `1lightly with Creole seasoning on both sides.
In a shallow bowl, whisk the eggs with a pinch of pepper. In another shallow bowl, combine the panko crumbs, salt, cayenne pepper and the remaining black pepper.
Dip the tomato slices in the egg mixture and then in the panko crumbs, pressing to coat on both sides and around the edges. Place the coated pieces on a cooling rack set over a baking sheet. Refrigerate for 30 minutes.
Heat the vegetable oil over medium heat in a large skillet. When the oil is hot, add a few tomato slices without overcrowding. Fry for 2 to 3 minutes on each side, until golden brown. Remove from the pan and transfer to a platter lined with a paper towel. Sprinkle with shaved or grated Pecorino or Parmesan cheese.