An electronic device may have a housing and a display in the housing. The display may have one or more curved edges such as curved edges associated with rounded corners in the display and housing. The display may have an array of pixels. The display may include full-strength pixels and may have a band of antialiasing pixels having selectively reduced strengths to visually smooth content displayed along the curved edges. The pixels may be organic light-emitting diode pixels, liquid crystal display pixels, or other display pixels. Organic light-emitting diode pixels may have drive transistors and associated organic light-emitting diodes. Selectively elevated series or opaque light blocking structures of selectively reduced areas may be used to selectively reduce the strength of the antialiasing pixels. Liquid crystal display pixels may include electrodes of different shapes and/or opaque layer openings of different sizes to form antialiasing pixels in desired patterns.