A laminate-type evaporator includes U-channel plates in combination with various configurations of dual cup and single cup plates, to control refrigerant pressure drop and achieve enhanced temperature spreads within the evaporator. The U-channel plates define one or more of the final refrigerant passes in the evaporator, and the dual cup and single cup plates define refrigerant passes upstream therefrom. Fins are disposed between adjacent plate pairs and extend to selected end edges of the U-channel plates to maximize the surface area available for heat exchange in the final refrigerant passes.