A method of making a top-emitting OLED device, includes providing over a substrate laterally spaced and optically opaque lower electrodes and upper electrode busses which are electrically insulated from the lower electrodes; depositing an organic EL medium structure over the lower electrodes and the upper electrode busses; selectively removing the organic EL medium structure over at least portions of the upper electrode busses to reveal at least upper surfaces of the upper electrode busses; and depositing a light transmissive upper electrode over the organic EL medium structure so that such upper electrode is in electrical contact with at least upper surfaces of the upper electrode busses.