The radii of the inner and outer boundaries of the circumbinary habitable zone (CBHZ) and the radii of the circumbinary chaotic zone (CBCZ) have been calculated for close binary stars in the solar neighborhood with sufficient catalogue data. A subclass of binaries for which the CBCZ boundary is within the CBHZ boundaries (the CBCZ radius is larger than the inner CBHZ radius, but smaller than the outer CBHZ radius) has been identified for the first time: M4-V69, HATS551-027, EZ Aqr A–C, 38 Cas, HD 2070, HD 15064, HD 28394, HD 160346, and HD 181602. Since, according to present-day theories and observational data, the probability of finding planets at the CBCZ boundary is high, one might expect the presence of potentially habitable circumbinary planets in the planetary systems of the binary stars revealed in this way. For the stars CM Dra, WTS 19c-3-01405, and LP 661-13 the CBCZ radius is smaller than the radius of the inner CBHZ boundary, but planets may be present around them in outer stable orbits resonant with the orbits of planets near the CBCZ boundary. Therefore, all of the binaries of these types revealed for the first time are of considerable interest for future observations.