Layered composite materials which comprises a substrate made from a thermoplastic polymer, and comprise an intermediate layer arranged thereupon and a decorative layer applied to the intermediate layer, where the decorative layer is composed of a chromed metal. A heat-cured layer may moreover be applied to the decorative layer. Layered composite materials of this type are suitable, inter alia, as reflecting or insulating parts of household devices or of moldings in the electrical, construction or automotive industry.