Set the oven temperature to 350°F (175°C) and prepare a 9×13-inch baking dish by greasing it lightly.
Spread the onion slices across the base of the baking dish in an even layer, gently pulling apart the rings to help them cook thoroughly and absorb seasoning.
Pour the melted butter evenly over the onions. Follow by sprinkling the garlic powder, paprika, oregano (if using), and a touch of salt and pepper over the entire surface.
Disperse the cheddar, mozzarella, and Parmesan cheeses evenly across the top of the seasoned onions.
Place the dish uncovered in the preheated oven and bake for 30 to 35 minutes, or until the cheese is melted, bubbling, and lightly browned.
Allow the gratin to rest briefly before serving. Pairs excellently with grilled meats, barbecue favorites, or as a flavorful side for casual gatherings.