Combine beef with salt, coriander, paprika, garlic, pepper, allspice and cayenne. Form 12 2-ounce patties.
Heat a large griddle over medium to medium-high heat. Spray griddle with cooking spray and cook patties a couple of minutes on each side, remove to plate. Clean griddle.
Rinse and drain the sauerkraut.
Butter 1 side of 24 slices of bread.
Combine sour cream with relish, ketchup, salt and pepper.
Make sandwiches with buttered sides of bread facing out, 2 squares of quartered sliced cheese stacked, a patty, more cheese, some sauerkraut and dressing. Griddle mini Reuben sandwiches until golden and the cheese is melted; serve warm.