A display may have a color filter layer and a thin-film transistor layer. A liquid crystal layer may be located between the color filter layer and the thin-film transistor layer. The display may have an active area surrounded by an inactive area. The opaque border layer may contain first and second opaque layers in the inactive area. The first opaque layer may have an opening in the inactive area that is overlapped by an isolation layer. The second opaque layer may be located in the inactive area and may overlap the opening in the first opaque layer to block light in the inactive area. The isolation layer may be interposed between the first and second opaque layers and may prevent static charge from an electrostatic discharge event along the edge of the display from migrating to the active area through the opaque border in the inactive area.