An electronic device may include electrical components and other components mounted within an interior of a housing. The device may have a display on a front face of the device and may have a glass layer that forms part of the housing on a rear face of the device. The glass layer may be provided with regions having different appearances. The regions may be textured, may have coatings such as thin-film interference filter coatings formed from stacks of dielectric material having alternating indices of refraction, may have metal coating layers, and/or may have ink coating layers. Textured surfaces may be formed on thin glass layers and polymer films that are coupled to the glass layer. A glass layer may be formed from a pair of coupled glass layers. The coupled layers may have one or more recesses or other structures to visually distinguish different regions of the glass layer.