A plastic molding system comprises: dispensing, pre-shaping and shaping cells and a transport subsystem. The dispensing cell has a station for dispensing a dose of plastic feedstock. The pre-shaping and shaping cells each comprise a plurality of stations for shaping the workpiece into a preform shape and into a final shape, respectively. The transport subsystem advances a workpiece along a selected one of a plurality of process paths to form a molded article. Each of the plurality of process paths is defined by a combination of stations of the dispensing cell, the pre-shaping cell and the shaping cell.