A system may have a display that includes a plurality of light sources such as light-emitting diodes. The display may be an exterior display that is routinely operated in daytime conditions where ambient light levels are very high. To increase contrast in an exterior display, the display may include a sunlight blocking element. A static sunlight blocking element may include a louver film with asymmetric light blocking portions. The system may include an ambient light sensor that is configured to determine ambient light levels. Based on the detected ambient light level, control circuitry in the system may adjust one or more adjustable components in the display. The display may include an adjustable diffuser that has at least two states with different haze levels. The display may include an adjustable tint layer that has at least two states with different transmission levels.