Electronic devices may include displays. A display may include backlight components that provide backlight illumination for the display. Backlight components may include a light guide plate that distributes light from a light source across the display. Display chassis structures may be used to support display layers and backlight components. A metal chassis may include a portion that partially surrounds the light source. Openings or perforations in the metal chassis may allow the portion that surrounds the light source to flex about a flex axis. A portion of a display layer may be mounted to a plastic chassis. The plastic chassis may be insert molded over a light source, may form part of a package for a light source, may be adhered to a light source, or may wrap around the light source. An encapsulant may be formed over the light source to protect the light source from vibrations and contaminants.