We compare the detection rates and redshift distributions of low-luminosity (LL) gamma-ray bursts (GRBs) localized by Swift with those expected to be observed by the new generation satellite detectors on the Gamma-ray Large Area Space Telescope (GLAST) (now Fermi) and, in future, the Energetic X-ray Imaging Survey Telescope (EXIST). Although the GLAST burst telescope will be less sensitive than Swift's in the 15-150 keV band, its large FoV implies that it will double Swift's detection rate of LL bursts. We show that Swift, GLAST and EXIST should detect about 1, 2 and 30 LL GRBs, respectively, over a 5-yr operational period. The burst telescope on EXIST should detect LL GRBs at a rate of more than an order of magnitude greater than that of Swift's BAT. We show that the detection horizon for LL GRBs will be extended from z similar or equal to 0.4 for Swift to z similar or equal to 1.1 in the EXIST era. Also, the contribution of LL bursts to the observed GRB redshift distribution will contribute to an identifiable feature in the distribution at z similar or equal to 1.