Solid state lighting (SSL) luminaires are disclosed having remote phosphors arranged to minimize heat degradation and to efficiently convert light. One embodiment of an SSL luminaire includes a light emitting diode (LED) mounted in a base. An enclosure is mounted in relation to the base so that light from the LED emits into the enclosure. A remote phosphor is mounted in the enclosure with at least some light from the LED passing into the remote phosphor where at least some of the light is absorbed and re-emitted at a different wavelength and passing through the enclosure. The remote phosphor is mounted a sufficient distance from the LED so substantially no heat from the LED passes into said conversion material, and wherein the remote phosphor has an open compound shape.