The invention provides highly functional epoxy resins that may be used themselves in coating formulations and applications but which may be further functionalized via ring-opening reactions of the epoxy groups yielding derivative resins with other useful functionalities. The highly functional epoxy resins are synthesized from the epoxidation of vegetable or seed oil esters of polyols having 4 or more hydroxyl groups/molecule. In one embodiment, the polyol is sucrose and the vegetable or seed oil is selected from corn oil, castor oil, soybean oil, safflower oil, sunflower oil, linseed oil, tall oil fatty acid, tung oil, vernonia oil, and mixtures thereof. Methods of making of the epoxy resin and each of its derivative resins are disclosed as are coating compositions and coated objects using each of the resins.