Development of analyzers for two-dimensional photoelectron spectroscopy and their applications are summarized. Newest high-energy-resolution display-type spherical mirror analyzer (DIANA) is explained in detail. Scientific achievements specific to two-dimensional spectroscopy are shown: such as photoelectron diffraction, photoelectron holography, circularly-polarized-light photoelectron diffraction, stereo-photograph of atomic arrangement, three-dimensional band structure, atomic orbital analysis, photoemission structure factor, orbital angular momentum analysis for valence band electrons. Some prospects for future are described.