Systems With Cover Layer Sealing Structures

A head-mounted device may have a head-mounted support structure. Rear-facing displays may present images to eye boxes at the rear of the head-mounted support structure. A forward-facing publicly viewable display may be supported on a front side of the head-mounted support structure facing away from the rear-facing displays. The forward-facing display may have pixels that form an active area in which images are displayed and may have a ring-shaped inactive border area that surrounds the pixels. A cover layer may cover the forward-facing display and other optical components. The cover layer may have laminates on front and rear surfaces. To protect an edge surface of the cover layer, encapsulation material may be provided on the edge surface or may otherwise separate the edge surface from an exterior of the device.