Akaroa and Lyttelton obtained years ago, and provisionally labelled as an undescribed species of Eurystheus. Stebbing in 1899 placed the species under Wyvillea, a genus of doubtful validity, and retained it in the same position in 1906. The species is, however, quite evidently a Eurystheus and comes near to E. dentifer (Haswell); the third side plate in the male is produced anteriorly below that of the second gnathopod in the same way as described for Paranaenia typica Chilton (1884, p. 259), a species which Stebbing considers a synonym of Eurystheus dentifer (Haswell). In addition to the Bay of Islands specimens I have others of E. haswelli from Lyttelton; Akaroa; Longbeach, near Otago Harbour; Stewart Island; Chatham Islands; and also one from Port Jackson, New South, Wales, sent to me in 1918 by Professor W. A. Haswell. Eurystheus crassipes (Haswell). Maera crassipes Haswell, 1880, p. 103, pl. 7, fig. 2. Eurystheus crassipes Stebbing, 1906, p. 612. I have specimens from Wellington and Auckland Harbours that evidently belong to this species, which was described from Port Jackson and Jervis Bay in Australia by Haswell; it is well characterized by the large size and breadth of the fourth peraeopod, and has rightly been placed in Eurystheus by Stebbing. The species has not hitherto been recorded from New Zealand. Eurystheus chiltoni (G. M. Thomson). Maera chiltoni G. M. Thomson, 1897, p. 447, pl. 10, figs. 1–5. Eurystheus chiltoni Stebbing, 1906, p. 617. Eurystheus longicornis Walker, 1907, p. 35, pl. 12, fig. 21. This species was described by Mr. Thomson from specimens dredged in the Bay of Islands. I have a specimen from Mokohinou, found by Mr. C. R. Gow on seaweed at a depth of 25 fathoms. I think there is no doubt that E. longicornis (Walker) is the same species; the descriptions agree generally, and the drawing given by Walker of the second gnathopod of the male agrees well with my specimen from Mokohinou and also with co-types of Mr. Thomson's species which I have been able to examine. Walker's specimens were collected at the winter quarters of the “Discovery” in McMurdo Strait during the National Antarctic Expedition, 1901–4. Eurystheus dentatus (Chevreux). Gammaropsis dentata Chevreux, 1900, p. 93, pl. 12, fig. 1. Eurystheus afer Chilton, 1912, p. 510, pl. ii, figs. 30–34. I have a few specimens of Eurystheus that I have had some difficulty in identifying. I find, however, in the better-developed specimens that the lower margin of the first side plate is distinctly dentate, as described and figured by Chevreux for the species named above, and the general agreement in other characters shows that they must be referred to that species. In the New Zealand specimens, both in the male and the female, the gnathopoda are more elongated and slender than those figured by Chevreux, but in others from the Kermadec Islands which seem to be otherwise the same the gnathopoda are stouter and like those of Chevreux' specimens. The New Zealand specimens are certainly the same as those from Gough Island collected by the “Scotia” “Expedition that I referred with much hesitation to E. afer Stebbing in 1912, and in two the merus of one or more of the last three pairs of peraeopoda is expanded in the same way as it is in one of the Gough Island specimens, though not quite to the same extent.