A variety of light-emitting devices are disclosed that are configured to output light provided by a light-emitting element (LEE). In general, embodiments of the light-emitting devices feature a light-emitting element, a scattering element that is spaced apart from the light-emitting element and an extractor element coupled to the scattering element, where the extractor element includes, at least in part, a total internal reflection surface. Luminaires incorporating light-emitting devices of this type are also disclosed.