Toast the bread: Warm a skillet over medium heat.
Spread a thin layer of butter on the cut sides of your English muffins or buns. Toast, cut-side down, until golden. Set aside.
Cook the sausage: In the same skillet, cook the sausage patties over medium heat until browned and cooked through, about 3–4 minutes per side.
Aim for a deep, even sear for best flavor.
Melt the cheese: Place a slice of cheese on each hot sausage patty. Reduce heat to low and cover the pan for 20–30 seconds to melt. Transfer patties to a plate.
Cook the eggs your way: Add a little butter to the skillet.
Crack in the eggs. For over-easy or over-medium, cook until the whites are set, flip gently, and cook to your preferred doneness. For a folded, fast-food-style egg, whisk eggs with a pinch of salt, pour into the pan, and gently fold as they set to create a neat square.
Season smartly: Add a pinch of salt and pepper to the eggs while they cook for balanced flavor.
Assemble: Stack each toasted muffin or bun with a cheesy sausage patty, the cooked egg, and any extras you like.
Cap with the top bun.
Serve immediately: The magic is in the heat and the melt. Enjoy hot, with your favorite coffee or tea.