A display may have an array of pixels that forms an active display area for displaying images. An inactive border area of the display may have contact pads to which integrated circuits and flexible printed circuits may be attached. The contact pads may be free of organic planarization layers and may be formed from multiple stacked conductive layers. The inactive portion of the display may include electrostatic discharge protection structures associated with the pads, metal layers that form signal paths extending between the pads and the pixels, interlayer dielectric layers for protecting the metal layers that form the signal paths, polysilicon footer structures that help prevent undercutting of gate insulator material in the vicinity of the pads, and other pad and signal line structures.