Light field displays can display naturally viewable three-dimensional (3D) images with smooth motion parallax without the use of special glasses by faithfully reproducing light ray information from objects. Because of this advantage, various display methods based on light field reproduction have been actively researched and developed. When focusing on the parallax direction, light field displays can be classified into two types: horizontal and full parallax. Although the full-parallax type has lower display characteristics, such as pixel density, than the horizontal parallax type, it has the potential to be used in a broader range of fields because 3D images can be viewed even when the viewer’s face is tilted. In this paper, we primarily review full parallax type light field display methods such as integral 3D display, Aktina Vision, and layered 3D display, while also describing the horizontal parallax type display methods. In addition, we briefly review volumetric displays which can display full-parallax 3D images based on a different principle from light field displays. © 2022 Institute of Image Electronics Engineers of Japan. All rights reserved.