Neoanchisquilla Moosa, 1991, is reviewed and two new species are described. Neoanchisquilla tuberculata and N. australiensis are described from the Comoro Islands and the Australian Northwest Shelf respectively, representing the first records of the genus from the Indian Ocean. The type species, N. semblatae Moosa, 1991, from New Caledonia, is redescribed. Both new species differ from N. semblatae in bearing seven teeth on the raptorial claw, and differ from each other in the dorsal and ventral ornamentation of the telson. A cladistic analysis supports the monophyly of Neoanchisquilla and shows the two newly described Indian Ocean species to be more closely related to each other than either is to the Western Pacific N. semblatae. Additional specimens of Neclorida miersi (Manning, 1968b) from Madagascar are the largest known specimens of the species, which is herein redescribed. Most diagnostic characters of the monotypic Neclorida are invariant with size, with the exception of the cornea width and the distinctness of the prelateral lobe of the telson. The generic diagnosis of Neclorida is emended to account for these new data.