| Acrobolbaceae | |
Acrobolbaceae
| E.A. Hodgs. | Rec. Domin. Mus. 4(11): 117 | 1962 |
| Antheliaceae | |
Antheliaceae
| R.M. Schust. | J. Hattori Bot. Lab. 26: 236 | 1963 |
| Arnelliaceae | |
Arnelliaceae
| Nakai | Ord. Fam. Trib. Gen. Prof. Nakai Ed. 200 | 1943 |
| Balantiopsidaceae | |
Balantiopsidaceae
| Nakai | Ord. Fam. Trib. Gen. Prof. Nakai Ed. 200 | 1943 |
| Blepharidophyllaceae | |
Blepharidophyllaceae
| R.M. Schust. | New Man. Bryol. 1: 541 | 1983 |
| Calypogeiaceae | |
Calypogeiaceae
| Ordway | Anal. Key Nat. Ord. 65 | 1881 |
| Endogemmaceae | ! |
Endogemmaceae
| Konstant., Vilnet & A.V. Troitsky | Folia Cryptog. Estonica 48: 132 | 2011 |
| Geocalycaceae | |
Geocalycaceae
| H. Klinggr. | Höh. Crypt. Preuss. 34 | 1858 |
| Gymnomitriaceae | |
Gymnomitriaceae
| H. Klinggr. | Höh. Crypt. Preuss. 16 | 1858 |
| Gyrothyraceae | |
Gyrothyraceae
| R.M. Schust. | Trans. Brit. Bryol. Soc. 6(1): 87 | 1970 |
| Harpanthaceae | |
Harpanthaceae
| Arnell | Skand. Fl. 2(a): 147 | 1928 |
| Hygrobiellaceae | ! |
Hygrobiellaceae
| Konstant. & Vilnet | Phytotaxa 167(2): 217 | 2014 |
| Jackiellaceae | |
Jackiellaceae
| R.M. Schust. | J. Hattori Bot. Lab. 36: 395 | 1972 [1973] |
| Jungermanniaceae | |
Jungermanniaceae
| Rchb. | Bot. Damen 256 | 1828 |
| Notoscyphaceae | ! |
Notoscyphaceae
| Crand.-Stotl., Váňa & Stotler | Syst. Bot. 40(1): 38 | 2015 |
| Saccogynaceae | |
Saccogynaceae
| Heeg | Verh. K.K. Zool.-Bot. Ges. Wien 41: 571 | 1891 |
| Solenostomataceae | |
Solenostomataceae
| Stotler & Crand.-Stotl. | Edinburgh J. Bot. 66(1): 190 | 2009 |
| Southbyaceae | |
Southbyaceae
| Váňa, Crand.-Stotl., Stotler & D.G. Long | Nova Hedwigia 95(1–2): 184 | 2012 |
| Stephaniellaceae | |
Stephaniellaceae
| R.M. Schust. | Nova Hedwigia Beih. 119: 584 | 2002 |
| Trichotemnomataceae | |
Trichotemnomataceae
| R.M. Schust. | J. Hattori Bot. Lab. 36: 340 | 1972 [1973] |