The present invention relates to coated films, comprising a plastic film and a radiation-curable aqueous coating agent, said coating agent containing a polyurethane (meth) acrylate having particularlyhigh resistance to hydrolysis. It further relates to a method for producing such films, to the use of such films for producing moldings, to a method for producing moldings having a radiation-cured coating, as well as to moldings producible by this method and the aqueous radiation-curable coating agents contained in the coating.