Various embodiments of a multi-evaporator sealed vapor compression system for an appliance are provided. In one example aspect, a sealed system charged with a refrigerant fluid includes a single compressor and a first and second evaporator fluidly coupled in series. A flash tank is positioned between the evaporators. One or more valves are fluidly coupled with and positioned downstream of the flash tank and the second evaporator. The valves are operable to selectively switch the flow of refrigerant fluid between the two evaporators at a frequency such that the temperature rise in the evaporators is negligible. In another aspect, a sealed system charged with a refrigerant fluid includes a single compressor and a first and second evaporator fluidly coupled in parallel. One or more valves positioned upstream of the evaporators and one or more valves are positioned downstream of the evaporators for controlling the refrigerant flow through the sealed system.