Brachiopoda Duméril, 1806
Arbizustrophia Garcia-Alcalde, 1972
Boucotstrophia Jahnke, 1981
Dictyostrophia Caster, 1939
Fascistropheodonta Harper & Boucot, 1978
Galateastrophia Harper & Boucot, 1978
Gorgostrophia Havlicek, 1967
Khangaestrophia Mendbajar, 1994
Leptodonta
Lissostrophia Amsden, 1949
Minutostropheodonta Harper & Boucot, 1978
Neumanella Harper & Boucot, 1978
Papillostrophia Havlicek, 1967
Parapholidostrophia Johnson, 1971
Pholidostrophia Hall & Clarke, 1892
Plicostropheodonta Sokolskaja, 1960
Strophonelloides Caster, 1939
Trilobostrophia Shishkina, 1983
