The family Caristiidae, commonly known as manefishes or veilfins, includes several species of mesopelagic, oceanic fishes found throughout the major ocean basins of the world. We present herein the second part of our revision of the family, including all of the “large-mouth” species, which are distinguished from other members of the family by having a narrow suborbital space and a long upper jaw that extends to mid-orbit or beyond and which is visible externally, not covered by the thin bones of the suborbital series. This group, which is comprised of the genera Platyberyx and Caristius, is described in full, including descriptions of five new species. The genus Platyberyx, which includes six species, three of which are newly described, is distinguished from all other caristiid genera by the presence of a conspicuous lateral line with large scales. The genus Caristius, with four species, two of which are newly described, is distinguished from Platyberyx by the absence of a conspicuous lateral line and by the presence of serrated ventral caudal-fin rays. Species in both genera are distinguished from each other on the basis of meristics, morphometrics, dentition, and gill-raker morphology. Most of the species described here are relatively widespread; species of Platyberyx appear to be more common in the Atlantic basin, while Caristius is more common in the Pacific.