Preheat a grill pan over medium-high heat.
Combine the beef, salt, allspice, cayenne, garlic powder, onion powder, oregano, pepper flakes, brown sugar, thyme and black pepper in a large bowl and gently mix until just combined.
Form the meat into eight 2-ounce patties, then press the center of each with your thumb to create an indent. Coat the grill pan with cooking spray.
Grill the sliders indent-side up until the internal temperature registers 150 degrees F, 2 to 3 minutes per side, placing a slice of cheese on each patty once you flip them. Cover the patties on the grill pan with a metal bowl to allow the cheese to melt. (The cheese will melt over the sides of the patties.) Remove the patties to a plate and cover loosely with foil to rest.
Meanwhile, brush the buns with the melted butter and grill until lightly toasted, about 2 minutes per side.
Assemble the sliders by putting a tablespoon-sized dollop of the Ketchup on the bun tops and bottoms, then top each bottom with a patty. Finish with one Onion Ring on top of each slider. Close sliders and serve immediately.