A light emitting device package assembly includes a light emitting device package body, and first, second and third white light emitting devices on the package body, each of the first, second and third white light emitting devices emits light when energized having a chromaticity that falls within a respective one of first, second and third non-overlapping chromaticity regions in a two dimensional chromaticity space. The first, second and third chromaticity regions are spaced apart in the two dimensional chromaticity space by respective regions having at least the size of a seven step MacAdam ellipse. Related solid state luminaires and methods are also disclosed.