An electronic device such as a wristwatch may have a housing with metal sidewalls and a display having conductive display structures. The display structures may be separated from the sidewalls by a slot for an antenna that runs around the display module. A conductive interconnect may be coupled between the sidewalls and the display structures. A feed and tuning element may be coupled between the display structures and the sidewalls. A first length of the slot from the interconnect to the tuning element may radiate in a satellite band and a cellular band. A second length of the slot from the interconnect to the feed may radiate in a 2.4 GHz band. Harmonics of the second length may radiate in bands at and above 5.0 GHz. If desired clip and blade structures may form conductive paths for coupling antenna elements.