To extract light from a light-emitting diode (and thereby improve efficiency of the display), a microlens stack may be formed over the light-emitting diode. The microlens stack may include an array of microlenses that is covered by an additional single microlens. Having stacked microlenses in this way increases lens power without increasing the thickness of the display. The array of microlenses may be formed from an inorganic material whereas the additional single microlens may be formed from an organic material. The additional single microlens may conform to the upper surfaces of the array of microlenses. An additional low-index layer may be interposed between the light-emitting diode and the array of microlenses. A diffusive layer may be formed around the light-emitting diode to capture light emitted from the light-emitting diode sidewalls.