Grimmiales is an order of mosses in the subclass Dicranidae. It comprises four families: Grimmiaceae, Ptychomitriaceae, Seligeriaceae, and Saelaniaceae.
The Funariidae are a widespread group of mosses in class Bryopsida. The majority of species belong to the genera Funaria and Physcomitrium.
Pottiales is an order of mosses in the subclass Dicranidae.
Andreaeobryum is a genus of moss with a single species Andreaeobryum macrosporum, endemic to Alaska and western Canada. The genus is placed as a separate family, order and class among the mosses.
Bryales is an order of mosses.
Gigaspermaceae are a family of mosses in the monotypic order Gigaspermales. The order is placed in subclass Gigaspermidae of the class Bryopsida. They were previously placed in subclass Funariidae.
Encalyptales is an order of mosses in subclass Funariidae. It contains a single family.
Fissidentaceae is a family of haplolepideous mosses (Dicranidae) in the order Dicranales, with a single genus, Fissidens. It was formerly placed in the now-obsolete order Fissidentales.
Eustichia is the only genus of moss in family Eustichiaceae. The family was previously place in the order Dicranales, but is now placed in its own monotypic order, Eustichiales.
Bruchiaceae is a family of haplolepideous mosses in subclass Dicranidae. The family was previously placed in the order Dicranales, but are now placed in their own monotypic order, Bruchiales.
Erpodiaceae is a family of haplolepideous mosses in subfamily Dicranidae. It was formerly placed in order Dicranales, but is now placed in its own monotypic order, Erpodiales.
Rhachitheciaceae is a family of haplolepideous mosses in the subfamily Dicranidae. It was formerly placed in the order Dicranales,<ref name=Goffinet-2020-web> but is now placed in order Rhabdoweisiales along with family Rhabdoweisiaceae.
Ditrichaceae is a family of haplolepideous mosses in subclass Dicranidae. The family was previously place in order Dicranales, but it now placed in its own monotypic order, Ditrichales.
Timmiellaceae is a family of haplolepideous mosses (Dicranidae). It contains two genera, Luisierella and Timmiella, that were formerly place in family Pottiaceae.
Catoscopium is a genus of haplolepidous mosses (Dicranidae) in the monotypic family Catoscopiaceae and order Catoscopiales. It contains only a single species, Catoscopium nigritum.
Micromitrium is a genus of haplolepideous mosses (Dicranidae) in the monotypic family Micromitriaceae . The genus Micrometrium was previously placed in family Pottiaceae in order Pottiales.
Pleurophascum is a genus of haplolepideous mosses (Dicranidae) in the monotypic family Pleurophascaceae. The family was previously place in the order Pottiales, but is not place in its own monotypic order, Pleurophascales.
Mittenia is a genus of haplolepideous mosses (Dicranidae) with a single species, Mittenia plumula, which is the sole representative of the family Mitteniaceae. The family was previously placed in the order Pottiales, but is now placed in its own monotypic order, Mitteniales.
Rhabdoweisiales is an order of haplolepideous mosses in the subclass Dicranidae. Its two families, Rhabdoweisiaceae and Rhachitheciaceae, were previously placed in Dicranales.
Sorapilla is a genus of mosses in the monotypic family Sorapillaceae. The family was previously placed in the order Hypnales, it is now placed in its own order, Sorapillales.
