01 - Melt 2 tablespoons unsalted butter in a large skillet over medium-low heat. Add thinly sliced onions, 1/2 teaspoon salt, and 1/2 teaspoon sugar. Cook, stirring occasionally, for 20 to 25 minutes until onions are deeply golden and caramelized. Remove from heat and set aside.
02 - In a mixing bowl, gently combine ground beef, 1 teaspoon kosher salt, 1/2 teaspoon black pepper, Worcestershire sauce, and minced garlic. Divide into 8 equal portions and shape each into a patty slightly larger than the slider buns.
03 - Heat a large skillet or grill pan over medium-high heat. Cook patties for 2 to 3 minutes per side, or until they reach desired doneness.
04 - Place one slice of cheddar cheese on each patty during the final minute of cooking. Cover briefly to assist melting.
05 - Spread unsalted butter on the cut sides of slider buns. Toast them in a skillet or under the broiler until golden brown.
06 - If desired, spread mayonnaise and/or Dijon mustard on the bottom buns. Add lettuce or tomato slices if using, then place the cheesy beef patty on top. Spoon a generous amount of caramelized onions over the patty and crown with the top bun.
07 - Serve sliders immediately while warm.