| Family | Archaeocumidae accepted as Lampropidae Sars, 1878 ⇒ Lampropidae
| 0 0 | Genera Species |
| Family | Bodotriidae T. Scott, 1901
| 51 515 | Genera Species |
| Family | Campylaspidae accepted as Nannastacidae Bate, 1866
| 0 0 | Genera Species |
| Family | Ceratocumatidae Calman, 1905
| 2 16 | Genera Species |
| Family | Diastylidae Bate, 1856
| 41 494 | Genera Species |
| Family | Gynodiastylidae Stebbing, 1912
| 13 138 | Genera Species |
| Family | Lampropidae Sars, 1878
| 33 218 | Genera Species |
| Family | Leuconidae Sars, 1878
| 24 221 | Genera Species |
| Family | Nannastacidae Spence Bate, 1866
| 43 710 | Genera Species |
| Family | Ophthalmdiastylidae ♰ Malzahn, 1972
| 3 5 | Genera Species |
| Family | Platyaspidae
| 0 0 | Genera Species |
| Family | Pseudocumatidae G. O. Sars, 1878
| 18 56 | Genera Species |
| Family | Pseudocumidae accepted as Pseudocumatidae Sars, 1878 ⇒ Pseudocumatidae
| 0 0 | Genera Species |
| Genus | Aotearocumella Gerken, 2012
| 3 | Species |
| Genus | Atlantobodotria Petrescu, 1998
| 0 | Species |
| Genus | Pseudopicrocuma Akiyama, 2012
| 1 | Species |