| | ! |
Amphidiales
| D. Bell & Goffinet | Amer. J. Bot. 110(11, e16249): 14 | 2023 |
| | |
Archidiales
| Limpr. | Laubm. Deutschl. 1: 84 | 1885 |
| | ! |
Bruchiales
| Goffinet | Amer. J. Bot. 110(11, e16249): 14 | 2023 |
| | |
Bryoxiphiales
| Á. Löve & D. Löve | Bryologist 56(3): 192 | 1953 |
| | |
Catoscopiales
| Ignatov & Ignatova | Arctoa 11(Suppl. 2): 942 | 2004 |
| | |
Dicranales
| M. Fleisch. | Hedwigia 61(4): 392 | 1920 |
| | |
Dicrananae
| W. Frey | Beitr. Biol. Nied. Pflanzen 132 | 1977 |
| Distichiaceae | |
Distichiaceae
| Schimp. | Syn. Musc. Eur. 135 | 1860 |
| | ! |
Distichiales
| D. Bell & Goffinet | Amer. J. Bot. 110(11, e16249): 14 | 2023 |
| | ! |
Ditrichales
| D. Bell & Goffinet | Amer. J. Bot. 110(11, e16249): 14 | 2023 |
| | ! |
Erpodiales
| Goffinet | Amer. J. Bot. 110(11, e16249): 14 | 2023 |
| | ! |
Eustichiales
| Goffinet | Amer. J. Bot. 110(11, e16249): 14 | 2023 |
| | |
Fissidentales
| M. Fleisch. | Hedwigia 61: 391 | 1920 |
| Flexitrichaceae | ** |
Flexitrichaceae
| Ignatov & Fedosov | Bot. J. Linn. Soc. 181(2): 152 | 2016 |
| | ! |
Flexitrichales
| D. Bell & Goffinet | Amer. J. Bot. 110(11, e16249): 14 | 2023 |
| | |
Grimmiales
| M. Fleisch. | Hedwigia 61(4): 393 | 1920 |
| | |
Mitteniales
| A.J. Shaw | Syst. Bot. 10: 228 | 1985 |
| | |
Phascales
| Limpr. | Krypt.-Fl. Schlesien 1(1): 210 | 1876 |
| | ! |
Pleurophascales
| Goffinet | Amer. J. Bot. 110(11, e16249): 15 | 2023 |
| | |
Pottiales
| M. Fleisch. | Hedwigia 61: 392 | 1920 |
| | ! |
Pseudoditrichales
| Ignatov & Fedosov | Bot. J. Linn. Soc. 181(2): 151 | 2016 |
| | ! |
Rhabdoweisiales
| D. Bell & Goffinet | Amer. J. Bot. 110(11, e16249): 15 | 2023 |
| | |
Schistostegales
| M. Fleisch. | Hedwigia 61: 394 | 1920 |
| | |
Scouleriales
| Goffinet & W.R. Buck | Monogr. Syst. Bot. Missouri Bot. Gard. 98: 233 | 2004 |
| | ** |
Seligeriales
| Crosby | Mosses N. Amer. 125 | 1980 |
| | ! |
Sorapillales
| Goffinet | Amer. J. Bot. 110(11, e16249): 15 | 2023 |
| | |
Syrrhopodontales
| Dixon | Man. Bryol. 408 | 1932 |
| Timmiellaceae | ! |
Timmiellaceae
| Y. Inoue & H. Tsubota | Phytotaxa 181(3): 156 | 2014 |