Displays for electronic devices may be provided with display structures such as liquid crystal display module structures. Backlight structures may provide backlight. A cover glass may be mounted above a liquid crystal display module. When assembling a display, layers of components may be attached to one another using adhesive. Alignment features may be incorporated into the layers of components to ensure that components are laterally and rotationally aligned before being secured to each other. A liquid crystal display module may have a thin-film transistor layer on which alignment marks are formed. Backlight structures may include a light guide plate, a chassis that receives the light guide plate, and a reflector. The chassis may have alignment openings corresponding to the alignment marks on the thin-film transistor layer. The reflector may have portions that overlap the alignment holes or may have portions that are recessed and do not overlap the alignment holes.