| Scientific Name | Author | English Name |
|---|---|---|
| Cunina becki | Bouillon, 1985 | |
| Cunina duplicata | Maas, 1893 | |
| Cunina fowleri | (Browne, 1906) | |
| Cunina frugifera | Kramp, 1948 | |
| Cunina globosa | Eschscholtz, 1829 | |
| Cunina lativentris | Gegenbaur, 1856 | |
| Cunina mucilaginosa | (Chamisso & Eysenhardt, 1821) | |
| Cunina octonaria | Mccrady, 1857 | |
| Cunina oligotis | Haeckel, 1879 | |
| Cunina peregrina | Bigelow, 1909 | |
| Cunina perigrima | Bigelow, 1909 | |
| Cunina polygonia | (Haeckel, 1879) | |
| Cunina proboscidea | Metschnikoff & Metschnikoff, 1871 | |
| Cunina simplex | Gili, Bouillon, Pagés, Palanques, Puig & Heussner, 1998 | |
| Cunina tenella | (Bigelow, 1909) | |
| Cunina vitrea | Bigelow, 1909 | |
| Cunissa polyphera | Haeckel, 1879 | |
| Cunissa polyporpa | Haeckel, 1879 | |
| Sigiweddellia benthopelagica | Bouillon, Pagès & Gilli, 2001 | |
| Solmissus albescens | (Gegenbaur, 1856) | |
| Solmissus atlantica | Zamponi, 1983 | |
| Solmissus bleekei | Haeckel, 1879 | |
| Solmissus faberi | Haeckel, 1879 | |
| Solmissus incisa | (Fewkes, 1886) | |
| Solmissus marshalli | Agassiz & Mayer, 1902 | Dinner plate medusa |