In the paper the results of our survey of periodic binary nearly perfect signals with lengths N≡0mod4 are presented. These signals possess autocorrelation functions, which have both the possibly smallest quantity and magnitude of side lobes and, due to this reason, they are named nearly perfect. A very important positive feature of the periodic binary nearly perfect signals is the possibility to be processed by the so-called side lobes suppression filters with very small losses in the signal-to-noise ratio. The results, obtained in the paper, could be useful in development of different types of radar sensors and radio-synchronization devices.