An electronic device may be provided with wireless circuitry, a conductive housing, and a display. The display may have an active area that displays image data and an inactive area that does not display image data. The active area may completely surround the inactive area at a front face of the device. A speaker port may be aligned with the inactive area and may emit sound through the inactive area. The wireless circuitry may include first and second antenna arrays. The first array may be configured to transmit and receive wireless signals at frequencies between 10 GHz and 300 GHz through the inactive area of the display. The second array may be configured to transmit and receive wireless signals at frequencies between 10 GHz and 300 GHz through a slot in a rear wall of the conductive housing. Control circuitry may perform beam steering using the first and second arrays.