| Adelotheciaceae | |
Adelotheciaceae
| W.R. Buck | Brittonia 39: 214 | 1987 |
| Amblyodontaceae | |
Amblyodontaceae
| Schimp. | Syn. Musc. Eur. (ed. 2) CII, 495 | 1876 |
| Amblystegiaceae | |
Amblystegiaceae
| G. Roth | Hedwigia 38(Beibl.): 6 | 1899 |
| Ambuchananiaceae | |
Ambuchananiaceae
| Seppelt & H.A. Crum | Fl. Australia 51(1): 406 | 1999 |
| | ** |
Ambuchananiales
| Seppelt & H.A. Crum | Contr. Univ. Michigan Herb. 22: 29 | 1999 |
| Amphidiaceae | |
Amphidiaceae
| M. Stech | Nova Hedwigia 86: 14 | 2008 |
| Andreaeaceae | |
Andreaeaceae
| Dumort. | Anal. Fam. Pl. 68 | 1829 |
| | |
Andreaeales
| M. Fleisch. | Musci Buitenzorg 1: xxiii | 1904 |
| Andreaeobryaceae | |
Andreaeobryaceae
| Steere | Phytologia 33: 410 | 1976 |
| | |
Andreaeobryales
| B.M. Murray | Beih. Nova Hedwigia 90: 299 | 1988 |
| Anoectangiaceae | |
Anoectangiaceae
| Schimp. | Coroll. Bryol. Eur. 11 | 1856 |
| Anomodontaceae | |
Anomodontaceae
| Kindb. | Gen. Eur. N.- Amer. Bryin. 6 | 1897 |
| Antitrichiaceae | |
Antitrichiaceae
| Ignatov & Ignatova | Arctoa 11(Supplement 2): 942 | 2004 |
| Aongstroemiaceae | |
Aongstroemiaceae
| De Not. | Atti Reale Univ. Genova 1: 30 | 1869 |
| Archidiaceae | |
Archidiaceae
| Schimp. | Coroll. Bryol. Eur. 5 | 1856 |
| | |
Archidiales
| M. Fleisch. | Musci Buitenzorg 1: xxiii | 1904 |
| Archifissidentaceae | ** |
Archifissidentaceae
| Dixon & P. de la Varde | Archifissidentaceae 23 | 1927 |
| Astomaceae | ** |
Astomaceae
| Schimp. | Coroll. Bryol. Eur. 7 | 1856 |
| Astomataceae | |
Astomataceae
| Schimp. | Coroll. Bryol. Eur. 7 | 1856 |
| Aulacomniaceae | |
Aulacomniaceae
| Schimp. | Syn. Musc. Eur. CXXXIX, 411 | 1860 |
| Bartramiaceae | |
Bartramiaceae
| Schwägr. | Sp. Musc. Frond. 90 | 1830 |
| Blindiaceae | |
Blindiaceae
| Schimp. | Syn. Musc. Eur. 117 | 1860 |
| Brachyodontaceae | |
Brachyodontaceae
| Schimp. | Syn. Musc. Eur. 116 | 1860 |
| | |
Brachytheciacanae
| W.R. Buck & Vitt | Taxon 35: 34 | 1986 |
| Brachytheciaceae | |
Brachytheciaceae
| Schimp. | Syn. Musc. Eur. (ed. 2) CXV [as "XCV"], 637 | 1876 |
| Braithwaiteaceae | |
Braithwaiteaceae
| N. E. Bell, A.E. Newton & D. Quandt | Bryologist 110: 554 | 2007 |
| Bruchiaceae | |
Bruchiaceae
| Schimp. | Coroll. Bryol. Eur. 6 | 1856 |
| Bryaceae | |
Bryaceae
| Schwägr. | Sp. Musc. Frond. 47 | 1830 |
| | |
Bryales
| M. Fleisch. | Musci Buitenzorg 1: xxiii | 1904 |
| Bryobartramiaceae | |
Bryobartramiaceae
| Sainsbury | Bryologist 51: 9 | 1948 |
| Bryowijkiaceae | |
Bryowijkiaceae
| W. Frey & M. Stech | Nova Hedwigia 87: 265 | 2008 |
| Bryoxiphiaceae | |
Bryoxiphiaceae
| Besch. | J. Bot. (Morot) 6: 183 | 1892 |
| | |
Bryoxiphiales
| Á. Löve & D. Löve ex H.A. Crum & L.E. Anderson | Mosses E. N. Amer. | 1981 |
| Buxbaumiaceae | |
Buxbaumiaceae
| Schwägr. | Sp. Musc. Frond. 23 | 1830 |
| | |
Buxbaumiales
| M. Fleisch. | Hedwigia 61: 399 | 1920 |
| Callicostaceae | |
Callicostaceae
| H.A. Crum | Bryologist 87: 210 | 1984 |
| Calliergonaceae | |
Calliergonaceae
| (Kanda) Vanderp., Hedenäs, C. J. Cox & A.J. Shaw | Taxon 51(1): 120 | 2002 |
| Calomniaceae | |
Calomniaceae
| Kindb. | Bot. Centralbl. 77: 394 | 1899 |
| | |
Calomniales
| Dixon | Man. Bryol. | 1932 |
| Calymperaceae | |
Calymperaceae
| Kindb. | Gen. Eur. N.- Amer. Bryin. 11 | 1897 |
| Camptotheciaceae | |
Camptotheciaceae
| Schimp. | Syn. Musc. Eur. (ed. 2) XCV, 635 | 1876 |
| Campyliaceae | |
Campyliaceae
| (Kanda) W.R. Buck | Bryoph. Biol. 110 | 2000 |
| Campylosteliaceae | |
Campylosteliaceae
| De Not. | Atti Reale Univ. Genova 1: 31 | 1869 |
| Catagoniaceae | |
Catagoniaceae
| W.R. Buck & Ireland | Nova Hedwigia 41: 115 | 1985 |
| Catoscopiaceae | |
Catoscopiaceae
| Boulay ex Broth. | Nat. Pflanzenfam. 220[I,3]: 629 | 1904 |
| | |
Catoscopiales
| Ignatov & Ignatova | Arctoa | 2004 |
| Ceratodontaceae | * |
Ceratodontaceae
| Schimp. | Syn. Musc. Eur. 138 | 1860 |
| Cinclidiaceae | |
Cinclidiaceae
| Kindb. | Gen. Eur. N.- Amer. Bryin. 12 | 1897 |
| Cinclidotaceae | |
Cinclidotaceae
| Schimp. | Syn. Musc. Eur. 193 | 1860 |
| Climaciaceae | |
Climaciaceae
| Kindb. | Gen. Eur. N.- Amer. Bryin. 7 | 1897 |
| | |
Climaciineae
| W.R. Buck & Vitt | Taxon 35: 21–60 | 1986 |
| Cochlearidiaceae | |
Cochlearidiaceae
| Ochyra & Mahu | J. Bryol. 16: 221 | 1990 |
| Cratoneuraceae | |
Cratoneuraceae
| Mönk. | Laubm. Eur. 4(Erganzungsb.): 704 | 1927 |
| | |
Cryphaeacanae
| W.R. Buck & Vitt | Taxon 35: 34 | 1986 |
| Cryphaeaceae | |
Cryphaeaceae
| Schimp. | Coroll. Bryol. Eur. 97 | 1856 |
| Cryptotheciaceae | ** |
Cryptotheciaceae
| Berk. | Handb. Brit. Mosses 65 | 1863 |
| Cyathophoraceae | |
Cyathophoraceae
| Kindb. | Bot. Centralbl. 76: 85 | 1898 |
| Cylindrotheciaceae | |
Cylindrotheciaceae
| Schimp. | Syn. Musc. Eur. 510 | 1860 |
| | |
Cyrtopodacanae
| W.R. Buck & Vitt | Taxon 35: 34 | 1986 |
| Cyrtopodaceae | |
Cyrtopodaceae
| M. Fleisch. | Musci Buitenzorg 3: 655 | 1908 |
| Daltoniaceae | |
Daltoniaceae
| Schimp. | Syn. Musc. Eur. 478 | 1860 |
| Dawsoniaceae | |
Dawsoniaceae
| Broth. | Nat. Pflanzenfam. I(3): 698 | 1905 |
| | |
Dawsoniales
| M. Fleisch. | Hedwigia 61: 400 | 1920 |
| Dendroideaceae | ** |
Dendroideaceae
| G. Roth | Hedwigia 38: (7) | 1899 |
| Dichelymaceae | |
Dichelymaceae
| Schimp. | Syn. Musc. Eur. 458 | 1860 |
| Dicnemonaceae | |
Dicnemonaceae
| Broth. | Nat. Pflanzenfam. (ed. 2) 10: 214 | 1924 |
| Dicranaceae | |
Dicranaceae
| Schimp. | Coroll. Bryol. Eur. 11 | 1856 |
| | |
Dicranales
| M. Fleisch. | Hedwigia 61: 392 | 1920 |
| Dicranellaceae | |
Dicranellaceae
| M. Stech | Nova Hedwigia 86: 14 | 2008 |
| Diphysciaceae | |
Diphysciaceae
| M. Fleisch. | Syllabus (ed. 8) 86 | 1919 [1920] |
| | |
Diphysciales
| M. Fleisch. | Musci Buitenzorg 3: xv | 1908 |
| Disceliaceae | |
Disceliaceae
| Schimp. | Coroll. Bryol. Eur. 59 | 1856 |
| Distichiaceae | * |
Distichiaceae
| Schimp. | Syn. Musc. Eur. 135 | 1860 |
| Distichophyllaceae | |
Distichophyllaceae
| H.A. Mill. | Phytologia 21: 249 | 1971 |
| Ditrichaceae | |
Ditrichaceae
| Limpr. | Laubm. Deutschl. 1: 482 | 1887 |
| Donrichardsiaceae | |
Donrichardsiaceae
| Ochyra | Lindbergia 11: 7 | 1985 |
| Drepanophyllaceae | * |
Drepanophyllaceae
| Mont. ex Berk. | Handb. Brit. Mosses 156 | 1863 |
| Drummondiaceae | |
Drummondiaceae
| (Vitt) Goffinet | Bryoph. Biol. 99 | 2000 |
| Echinodiaceae | |
Echinodiaceae
| Broth. | Nat. Pflanzenfam. I(3): 1216 | 1909 |
| Encalyptaceae | |
Encalyptaceae
| Schimp. | Coroll. Bryol. Eur. 38 | 1856 |
| Endotrichaceae | * |
Endotrichaceae
| Kindb. | Gen. Eur. N.- Amer. Bryin. 6 | 1897 |
| Entodontaceae | |
Entodontaceae
| Kindb. | Gen. Eur. N.- Amer. Bryin. 7 | 1897 |
| Ephemeraceae | |
Ephemeraceae
| Schimp. | Coroll. Bryol. Eur. 3 | 1856 |
| Ephemerellaceae | |
Ephemerellaceae
| Schimp. | Syn. Musc. Eur. (ed. 2) LXXXIV, 9 | 1876 |
| Ephemeropsaceae | |
Ephemeropsaceae
| W. Schultze-Motel | Taxon 19: 251 | 1970 |
| Ephemeropsidaceae | ** |
Ephemeropsidaceae
| W. Schultze-Motel | Taxon 19: 251 | 1970 |
| Erpodiaceae | |
Erpodiaceae
| Broth. | Nat. Pflanzenfam. I(3): 706 | 1905 |
| Erpodiopsaceae | |
Erpodiopsaceae
| Müll. Hal. | Flora 73: 470 | 1890 |
| | |
Eubryales
| M. Fleisch. | Hedwigia 61: 395 | 1920 |
| Eustichiaceae | |
Eustichiaceae
| Broth. | Nat. Pflanzenfam. (ed. 2) 10: 420 | 1924 |
| Fabroniaceae | |
Fabroniaceae
| Schimp. | Coroll. Bryol. Eur. 102 | 1856 |
| Fissidentaceae | |
Fissidentaceae
| Schimp. | Coroll. Bryol. Eur. 20 | 1856 |
| | |
Fissidentales
| M. Fleisch. | Hedwigia 61: 391 | 1920 |
| Fontinalaceae | |
Fontinalaceae
| Schimp. | Coroll. Bryol. Eur. 96 | 1856 |
| Fontinaliaceae | ** |
Fontinaliaceae
| Vitt | Syn. Classific. Living Organ. | 1982 |
| | |
Fontinalineae
| W.R. Buck & Vitt | Taxon 35: 21–60 | 1986 |
| Funariaceae | |
Funariaceae
| Schwägr. | Sp. Musc. Frond. 43 | 1830 |
| | |
Funariales
| M. Fleisch. | Hedwigia 61: 393 | 1920 |
| | |
Garovagliacanae
| W.R. Buck & Vitt | Taxon 35: 34 | 1986 |
| Garovagliaceae | |
Garovagliaceae
| (M. Fleisch.) W.R. Buck & Vitt | Taxon 35: 35 | 1986 |