Certain example embodiments of this invention relate to techniques for improving the performance of Lambertian and non-Lambertian light sources. In certain example embodiments, this is accomplished by (1) providing an organic-inorganic hybrid material on LEDs (which in certain example embodiments may be a high index of refraction material), (2) enhancing the light scattering ability of the LEDs (e.g., by fractal embossing, patterning, or the like, and/or by providing randomly dispersed elements thereon), and/or (3) improving performance through advanced cooling techniques. In certain example instances, performance enhancements may include, for example, better color production (e.g., in terms of a high CRI), better light production (e.g., in terms of lumens and non-Lambertian lighting), higher internal and/or external efficiency, etc.