A display may have display layers such as liquid crystal display layers having a liquid crystal layer interposed between a color filter layer and a thin-film transistor layer or organic light-emitting diode layers having organic light-emitting diodes formed from thin-film transistor circuitry. The display layers may be configured to form an array of pixels that display images and may include a polarizer. An angle-of-view adjustment layer may overlap the display layers. The angle-of-view adjustment layer may include one or more liquid crystal layers. A first polarizer may be interposed between first and second liquid crystal layers and the second liquid crystal layer may be overlapped by a second polarizer. The first and second polarizers may have pass axes that are aligned with a pass axis of the polarizer in the display layers. One or more liquid crystal layers in the angle-of-view adjustment layer may include dichroic dye.