A process for coating a metallic surface with an aqueous composition containing a) as the main component, an organic film former consisting of at least one synthetic resin, 70 to 100 wt. % of the content of synthetic resin(s) in the organic film former comprising at least one water-soluble or/and water-dispersible synthetic resin in the form of polymers, copolymers, block copolymers or/and graft copolymers based on synthetic resins selected from the group consisting of polycarbonate, polyurethane, ionomer, poly(meth)acrylate, polyester, polyether or/and polystyrene, the content of polycarbonate and polyurethane being at least 10 wt. % each, at least one long-chain alcohol as film-forming aid for the organic film former, a crosslinker, a lubricant, and a substance based on silane, silanol or/and siloxane or/and at least one inorganic compound in particle form with an average particle diameter measured on a scanning electron microscope in the range from 0.005 to 0.3 μm, and optionally at least one organic corrosion inhibitor, at least one organic solvent or/and at least one additive. The metallic surface is brought into contact with the aqueous composition and a polymeric film is formed on the metallic surface with a film thickness in the range from 0.01 to 10 μm. The aqueous composition and coated products are also contemplated.