Preheat your oven to 375 degrees F and prepare a baking sheet with parchment paper. Set aside.
In a skillet over medium heat, melt two (2) tablespoons of butter. Add the chopped onion, and cook, stirring often, until softened and translucent.
Add the ground beef and break it into smaller pieces with a spatula, spreading it out over the pan. Brown undisturbed for several minutes, then stir. Continue to brown several minutes at a time until meat is fully cooked and no pink remains. Drain any excess fat from the pan. Season to taste with salt and pepper.
Arrange the bottom halves of the slider buns on your prepared baking sheet.
Place the remaining two tablespoons of butter in a microwave safe bowl, and melt for 20-30 seconds, or until totally melted. Stir in the minced garlic and parsley flakes to make an herby garlic butter sauce, and season with a pinch of salt.
Brush half of the butter mixture over the bottom halves of the slider buns. Arrange 4-6 slices of cheese over the bottom buns, overlapping if needed.
Spoon the beef & onion mixture over the cheese, then arrange the remaining 4-6 slices of cheese over the beef. Place the tops of the slider buns over the cheese, then brush the remaining half of the garlic butter sauce generously over the tops of the slider buns.
Place the sliders into the oven and bake for 8-10 minutes, or until the cheese is melted and the tops of the buns are toasted golden brown.
Slice or tear the sliders apart, then serve hot with pickles and garlic aioli for dipping, if desired, and your favorite side dish.