An electronic device may be provided with a display such as a liquid crystal display. The display may have a layer of liquid crystal material interposed between upper and lower polarizers. A first substrate such as a thin-film transistor layer may be interposed between the liquid crystal layer and the lower polarizer. A second substrate such as a color filter glass layer may be interposed between the upper polarizer and the liquid crystal layer. The color filter glass layer may have opposing upper and lower surfaces. The lower surface of the color filter glass layer may have an array of color filter elements. To prevent damage to display, an electrostatic shielding layer may be formed on the upper surface of the color filter glass layer under the upper polarizer. Reflections may be minimized by using index-matching dielectric layers in the display or thinning the shielding layer.