An electronic device may be provided with a display that has a layer of liquid crystal material interposed between a color filter layer and a thin-film-transistor layer. The thin-film-transistor layer may have a substrate with an upper surface and a lower surface. A circular polarizer may be formed on the upper surface. Thin-film transistor circuitry such as gate driver circuitry may be formed on the lower surface. A display driver circuit may be mounted on an inactive border region of the lower surface of the thin-film transistor substrate. Display pixels may form an array in a central active region of the display. A grid of metal gate and data lines may distribute signals from the display driver circuit and gate driver circuitry to the display pixels. A grid of non-reflecting lines may be interposed between the grid of metal lines and the lower surface.