Follow these steps to bring this comforting dish to life:

1. Preheat your oven to 350°F (175°C). Grease a 9×13 inch baking dish to prevent sticking.
2. In a large skillet, cook the ground beef over medium heat until browned. Drain excess fat and set aside.
3. Add the diced onion to the skillet and sauté until translucent, about 5 minutes.
4. Return the beef to the skillet, adding the Worcestershire sauce, salt, and pepper. Stir until well combined.
5. In a separate bowl, mix together the cream of mushroom soup, cream of chicken soup, and milk.
6. Layer the hash browns evenly in the prepared baking dish. Spoon the beef mixture over the hash browns, spreading it out evenly.
7. Pour the soup mixture over the beef layer, smoothing it out with a spatula.
8. Top with shredded cheddar cheese, ensuring full coverage for a cheesy top layer.
9. Bake in the preheated oven for 45-50 minutes, or until the top is golden and bubbly. Let it cool for a few minutes before serving.

Remember, a sprinkle of fresh herbs before serving can add a burst of freshness to the dish.