Brachiopoda Duméril, 1806
Amphistrophia Hall & Clarke, 1892
Amphistrophiella Harper, Boucot & Johnson, 1978
Desistrophia Talent, 1988
Devonamphistrophia Harper, Boucot & Johnson, 1978
Eoamphistrophia Harper, Boucot & Johnson, 1978
Eomaoristrophia Ushatinskaya, 1983
Gladiostrophia Havlicek, 1967
Jakutostrophia Manankov, 1991
Mclearnites Caster, 1945
Mclearnitesella Harper, Boucot & Johnson, 1978
Pembrostrophia Bassett, 1971
Sinostrophia Hamada, 1968
