1. Heat the olive oil in a large skillet over medium-high heat. Add the ground beef and cook until browned, about 5-7 minutes, breaking up the meat as it cooks.
2. Add the chopped onion to the skillet and sauté until translucent, approximately 4 minutes. Stir in the minced garlic and cook for another minute until fragrant.
3. Reduce the heat to medium and stir in the ketchup, Worcestershire sauce, Dijon mustard, brown sugar, and smoked paprika. Mix well to combine.
4. Season with salt and pepper, and let the mixture simmer for about 5-10 minutes until the sauce thickens and clings to the beef, stirring occasionally.
5. Toast the hamburger buns under a broiler or in a toaster, if desired, for added texture.
6. Spoon the beef mixture onto the bottom halves of the buns. Top with optional pickles, cheese, or lettuce, then cover with the top halves of the buns.

Pro tip: Toasting the buns keeps them from getting too soggy and adds a delightful crunch that complements the rich, savory filling.