Preheat Oven: Preheat oven to 375°F (190°C). Line a baking sheet with parchment paper or lightly grease a baking dish.
Prepare Shrimp: Peel and devein shrimp, leaving tails intact. Butterfly each shrimp by making a deep slit along the outer curve, without cutting through. Gently flatten shrimp, cut-side down, on the prepared baking sheet.
Make Stuffing: In a skillet, heat olive oil over medium heat. Add garlic and sauté for 1-2 minutes until fragrant (do not brown). Add white wine and simmer for 1 minute to reduce slightly. Remove from heat and cool slightly. In a bowl, combine breadcrumbs, melted butter, Parmesan, parsley, oregano, red pepper flakes (if using), salt, and pepper. Stir in the garlic-wine mixture until just moistened.
Stuff Shrimp: Spoon about 1 tbsp of stuffing onto each butterflied shrimp, pressing gently to mold it around the shrimp.
Bake: Bake for 12-15 minutes, until shrimp are pink and opaque and the stuffing is lightly golden. Optionally, broil for 1-2 minutes to crisp the topping.
Serve: Drizzle with fresh lemon juice, garnish with additional parsley, and serve immediately with lemon wedges.