Отряд Ринхонеллиды Order Rhynchonellida Kuhn, 1949. Lower Ordovician–Holocene.
В среднем палеозое девять надсемейств.
Superfamily Ancistrorhynchoidea Cooper, 1956. Lower Ordovician–Lower Devonian.
Superfamily Rhynchotrematoidea Schuchert, 1913. Upper Ordovician–Lower Carboniferous.
Superfamily Uncinuloidea Rzhonsnitskaia, 1956. lower Silurian–Upper Devonian.
Superfamily Camarotoechioidea Schuchert, 1929. lower Silurian–Lower Carboniferous.
Superfamily Rhynchotetradoidea Licharew, 1956. Upper Devonian–Middle Jurassic.
Superfamily Lambdarinoidea Brunton & Champion, 1974. Upper Devonian–Upper Carboniferous.
Superfamily Dimerelloidea Buckman, 1918. Upper Devonian–Holocene.
Superfamily Stenoscismatoidea Oehlert, 1887 (1883). Lower Devonian–Upper Permian.
Superfamily Pugnacoidea Rzhonsnitskaia, 1956. Lower Devonian–Holocene.