Acrotylaceae Schmitz, 1892 family accepted

Gigartinaceae Kützing, 1843 family accepted

Gloiosiphoniaceae family accepted

Gainiaceae family accepted

Furcellariaceae Kylin, 1932 family accepted

Haemeschariaceae R.T. Wilce & C.A. Maggs family accepted

Phyllophoraceae Nägeli, 1847 family accepted

Phacelocarpaceae Searles, 1968 family accepted

Solieriaceae family accepted

Sphaerococcaceae Schmitz & Hauptfleisch family accepted

Rhizophyllidaceae Schmitz, 1889 family accepted

Polyidaceae Kylin, 1956 family accepted

Parachaetetes K. Deninger, 1906 genus accepted

Dumontiaceae Bory, 1828 family accepted

Etheliaceae K.R. Dixon, C.W. Schneider & G.W. Saunders in Dixon et al., 2015 family accepted

Endocladiaceae Kylin family accepted

Areschougiaceae J. Agardh, 1876 family accepted

Caulacanthaceae Kützing, 1843 family accepted

Chondriellaceae Levring, 1941 family accepted

Chondrymeniaceae family accepted

Corynocystaceae family accepted

Crossocarpaceae Perestenko, 1975 family accepted

Cruoriaceae (J. Agardh) Kylin, 1928 family accepted

Cubiculosporaceae Kraft, 1973 family accepted

Cystocloniaceae Kützing, 1843 family accepted

Dicranemataceae Kylin, 1932 family accepted

Blinksiaceae Hollenberg & Abbott, 1968 family accepted

Calosiphoniaceae Kylin, 1932 family accepted

Mychodeaceae Kylin, 1932 family accepted

Mychodeophyllaceae Kraft, 1978 family accepted

Nizymeniaceae Womersley, 1971 family accepted

Rissoellaceae Kylin family accepted

Schmiziellaceae family accepted

Kallymeniaceae (J. Agardh) Kylin, 1928 family accepted

Tichocarpaceae family accepted

Agardhiellopsis M. Lemoine, 1966 genus provisionally accepted