| Trimerellidae Davidson et King, 1872 | Trimerellida | Brachiopoda | Ordoviitsium | Silur | | | | |
| Rhynchonellida Kuhn, 1949 | Rhynchonellata | Brachiopoda | | | | | | |
| Atrypida Rzhonsnitskaya, 1960 | Rhynchonellata | Brachiopoda | Kesk-Ordoviitsium | Frasnes'i lade | | | | |
| Athyridida Boucot, Johnson et Staton, 1964 | Rhynchonellata | Brachiopoda | Ülem-Ordoviitsium | Triias | | | | |
| Spiriferida Waagen, 1883 | Rhynchonellata | Brachiopoda | Ülem-Ordoviitsium | Triias | | | | |
| Thecideida Elliott, 1958 | Rhynchonellata | Brachiopoda | | | | | | |
| Terebratulida Waagen, 1883 | Rhynchonellata | Brachiopoda | Alam-Devon | Holotseen | | | | |
| Protorthoidea Schuchert et Cooper 1931 | Protorthida | Brachiopoda | Kambrium | Kambrium | | | | |
| Skenidioidea Kozłowski, 1929 | Protorthida | Brachiopoda | Alam-Ordoviitsium | Frasnes'i lade | | | | |
| Skenidiidae Kozłowski, 1929 | Skenidioidea | Brachiopoda | Alam-Ordoviitsium | Frasnes'i lade | | | | |
| Orthoidea Woodward, 1852 | Orthidina | Brachiopoda | Billingeni lade | | | | | |
| Orthidae Woodward, 1852 | Orthoidea | Brachiopoda | | | | | | |
| Glyptorthidae Schuchert et Cooper, 1931 | Orthoidea | Brachiopoda | Kesk-Ordoviitsium | Wenlock | | | | |
| Hesperorthidae Schuchert et Cooper, 1931 | Orthoidea | Brachiopoda | Kesk-Ordoviitsium | Alam-Devon | | | | |
| Poramborthidae Havliček, 1950 | Orthoidea | Brachiopoda | | | | | | |
| Productorthidae Schuchert et Cooper, 1931 | Orthoidea | Brachiopoda | Kesk-Ordoviitsium | Ülem-Ordoviitsium | | | | |
| Kutorginida Kühn, 1949 | Kutorginata | Brachiopoda | | | | | | |
| Obolellida Rowell, 1965 | Obolellata | Brachiopoda | Alam-Kambrium (endine liigestus) | Kesk-Kambrium (endine liigestus) | | | | |
| Chileida Popov et Tikhonov, 1990 | Chileata | Brachiopoda | Alam-Kambrium (endine liigestus) | Silur | | | | |
| Orthotetidina Waagen, 1884 | Orthotetida | Brachiopoda | Ülem-Ordoviitsium | Perm | | | | |
| Triplesiidina Moore, 1952 | Orthotetida | Brachiopoda | Kesk-Ordoviitsium | Ludlow | | | | |
| Triplesiidae Schuchert, 1913 | Triplesoidea | Brachiopoda | Alam-Ordoviitsium | Ludlow | | | | |
| Atrypidina Moore, 1952 | Atrypida | Brachiopoda | Ülem-Ordoviitsium | Frasnes'i lade | | | | |
| Atrypoidea Gill, 1871 | Atrypidina | Brachiopoda | Ülem-Ordoviitsium | Frasnes'i lade | | | | |
| Atrypidae Gill, 1871 | Atrypoidea | Brachiopoda | Llandovery | Frasnes'i lade | | | | |
