An electronic device may have a liquid crystal display with backlight structures. The backlight structures may produce backlight that passes through the liquid crystal display. A reflector may be used to enhance backlight efficiency. The electronic device may have a housing in which the display is mounted. The housing may be formed from an opaque material such as metal. An opening may be formed in the housing. Transparent housing structures such as a transparent logo structure may be mounted in the opening of the housing. During operation, a light source may produce light that passes through the transparent logo structure. A light guide structure may be used to guide light from the light source to the transparent logo structure. The reflector may be formed from a coating of metal on the light guide structure. Light from the light source may be used to form the backlight for the backlight structures.