Preheat oven to 375°F (190°C) and grease a 9x13 inch baking dish.
In a large skillet, brown ground beef over medium heat. Drain excess fat.
Add onion and garlic to the skillet. Sauté for 3–4 minutes until soft.
Stir in broccoli and cook for 3–5 minutes until just tender. Season with salt, pepper, Italian seasoning, and paprika.
In a bowl, combine sour cream, cream cheese, milk, Dijon mustard, and 1 cup of shredded cheese.
Add beef and broccoli mixture to the sauce. Stir until well combined.
Transfer to the baking dish and spread evenly. Top with remaining cheese and crackers.
Bake uncovered for 20–25 minutes, until bubbly and golden.
Let rest for 5–10 minutes before serving.