Peel and devein the shrimp if not already done. Pat them dry with paper towels and set aside.
Heat two tablespoons of olive oil in a large skillet over medium heat until shimmering and fragrant.
Add the finely chopped garlic and sauté for about 30 seconds to 1 minute, until it turns golden and releases a fragrant aroma.
Pour in the white wine and let it simmer for 2-3 minutes, stirring occasionally, until the liquid reduces by half and the smell becomes bright and slightly tangy.
Add the crushed San Marzano tomatoes to the skillet, stirring to combine. Bring the mixture to a gentle simmer and cook for about 5 minutes, allowing the sauce to thicken slightly and fill the kitchen with a rich, tomato scent.
Season the sauce with salt, black pepper, dried oregano, and crushed red pepper flakes. Add chopped fresh basil, stir well, and let simmer for another 5 minutes to meld the flavors.
Push the sauce to one side of the skillet and increase the heat slightly. Place the shrimp in a single layer and cook for about 2-3 minutes per side, until they turn pink, opaque, and develop a slight smoky aroma.
Toss the shrimp in the sauce and cook together for another minute, allowing the flavors to meld and the shrimp to absorb the sauce's brightness.
Remove from heat, garnish with extra basil leaves, and serve immediately over pasta or with crusty bread, enjoying the vibrant, fragrant, and hearty dish.