| Facciolella Whitley, 1938 |
| Facciolella equatorialis (Gilbert, 1891) |
| Facciolella gilbertii (Garman, 1899) |
| Hoplunnis Kaup, 1860 |
| Hoplunnis diomediana Goode & Bean, 1896 |
| Hoplunnis diomedianus Goode & Bean, 1896 |
| Hoplunnis macrura Ginsburg, 1951 |
| Hoplunnis macrurus Ginsburg, 1951 |
| Hoplunnis pacifica Lane & Stewart, 1968 |
| Hoplunnis sicarius (Garman, 1899) |
| Hoplunnis similis Smith, 1989 |
| Hoplunnis tenuis Ginsburg, 1951 |
| Nettastoma Rafinesque, 1810 |
| Nettastoma melanura Rafinesque, 1810 |
| Nettastomatidae Kaup, 1859 |
| Nettenchelys Alcock, 1898 |
| Nettenchelys pygmaea D. G. Smith & Böhlke, 1981 |
| Nettenchelys pygmaeus Smith, 1981 |
| Saurenchelys Peters, 1864 |
| Saurenchelys cognita D. G. Smith, 1989 |