Sandwich making appliance and method of making a sandwich with the same

A small cooking appliance comprises a bottom housing, a top housing, and a ring assembly. The bottom housing has a top surface that forms a bottom cooking surface of the appliance. The top housing has a bottom surface that forms a top cooking surface of the appliance. The top housing is movably attached to the bottom housing and moveable between a closed position and an open position. The ring assembly is positionable between the top and bottom cooking surfaces when the top housing is in its closed position. The ring assembly comprises a top ring, a bottom ring, and an optional center cooking plate. The center cooking plate is movable between (i) a closed position in which a space defined by the ring assembly is divided into top and bottom cooking cavities and (ii) an open position.