Recent progress in Group III nitrides technology has enabled the development of bright blue light-emitting diodes (LEDs) with high luminous efficiency. Nevertheless, the achievement of full color displays from the Group III nitrides is quite a difficult task. A perspective way to obtain a wide range of colors from such system is a hybrid organic - inorganic LED in which the electroluminescence from Group III nitride crystal provides the blue component and, simultaneously, serves as the pump for exciting the green and red photoluminescence of organic luminofores. We demonstrate such hybrid LEDs based on GaN and InGaN systems with numerous organic luminofores providing blue, green, red and white colors with high luminous efficiency. Color of the emitted light from the GaN based LED can be changed by varying the current through the device due to change in the relation between the UV and visible components of GaN electroluminescence.