Отряд Атиридиды Order Athyridida Boucot, Johnson, & Staton, 1964. Upper Ordovician–Lower Jurassic.
В среднем палеозое семь надсемейств в двух подотрядах.
Superorder Athyrididina Boucot, Johnson, & Staton, 1964. Upper Ordovician–Upper Triassic, ?Upper Jurassic.
Superfamily Meristelloidea Waagen, 1883. Upper Ordovician–Lower Carboniferous.
Superfamily Athyridoidea Davidson, 1881. ?Upper Ordovician, lower Silurian–Upper Triassic; ?Upper Jurassic.
Superfamily Nucleospiroidea Davidson, 1881. ?Upper Ordovician, lower Silurian–Lower Permian.
Superfamily Retzielloidea Rzhonsnitskaya, 1974. lower Silurian–Lower Devonian.
Superorder Retziidina Boucot, Johnson, & Staton, 1964. lower Silurian–Upper Triassic.
Superfamily Retzioidea Waagen, 1883. lower Silurian–Upper Triassic.
Superfamily Rhynchospirinoidea Schuchert, 1929. lower Silurian–Middle Devonian.
Superfamily Mongolospiroidea Alekseeva, 1981. Lower Devonian.