Greetings,

Considering your requirements, I have formulated an American-style "Breakfast Burger" recipe that embraces the heartiness of a burger and the essential aspects of breakfast. 

**Recipe: Breakfast Burger**

**Ingredients:**
- 300 grams of ground beef
- 4 English muffins
- 4 large eggs
- 4 cheese slices (Cheddar)
- 4 slices of cooked bacon
- Salt to taste
- Black Pepper to taste
- 2 tablespoons vegetable oil
- Ketchup or other desired condiments

**Instructions:**
1. Start by forming the ground beef into four equal patties. Season both sides with salt and pepper. 
2. Preheat a skillet or griddle over medium-high heat and drizzle with vegetable oil. Once hot, add the beef patties and cook for about 4-5 minutes on each side, or until they reach your desired level of doneness.
3. While the patties are cooking, slice and toast the English muffins.
4. In another pan, fry the eggs ensuring to keep the yolks runny (or according to your preference). Season with a bit of salt and pepper. 
5. Once the beef patties are done, put a slice of cheese on each one and cover the pan for about a minute to allow the cheese to melt.
6. Assemble your breakfast burgers: Place the patty with the melted cheese on one half of the toasted English muffin. Top it with a slice of cooked bacon, a fried egg and put on the muffin top. 
7. Serve your breakfast burger hot along with ketchup or your desired sauce.

**Grocery List:**
- Ground Beef: 300 g
- English muffins: 4
- Large Eggs: 4
- Cheddar Cheese Slices: 4
- Bacon Slices: 4
- Salt: 1 small pack
- Black Pepper: 1 small pack
- Vegetable Oil: 500 ml bottle
- Ketchup: 1 bottle

**Nutritional Information:**
Given that this recipe is designed for 4 servings, each serving which is one "Breakfast Burger" would contain approximately: 

- Calories: 500
- Total Fat: 29g 
- Cholesterol: 260mg 
- Sodium: 950mg
- Carbohydrates: 27g
- Protein: 31g

Please note, these values can vary slightly depending on brand of ingredients used and cooking method. 

Enjoy your delightful breakfast!