Acaeniospongus Kozur & Mostler, 1981 † (original description)
Anisicyrtidae Kozur & Mostler, 1981 † (original description)
Anisicyrtis Kozur & Mostler, 1981 † (original description)
Annulopoulpus Kozur & Mostler, 1981 † (original description)
Archocyrtiidae Kozur & Mostler, 1981 † (original description)
Arrhiniella Kozur & Mostler, 1981 † (original description)
Baratuna Kozur & Mostler, 1981 † (original description)
Bissylentactinia Nazarov, 1975 † (verified source for family)
Bulbocyrtidae Kozur & Mostler, 1981 † (original description)
Bulbocyrtium Kozur & Mostler, 1981 † (original description)
Capuchnosphaeridae de Wever, 1979 † accepted as Capnuchosphaeridae De Wever, 1979 † (basis of record)
Carinaheliosoma Kozur & Mostler, 1981 † (original description)
Divatella Kozur & Mostler, 1981 † (original description)
Fueloepicyrtidae Kozur & Mostler, 1981 † (original description)
Fueloepicyrtis Kozur & Mostler, 1981 † (original description)
Hexaspongus Kozur & Mostler, 1981 † (original description)
Hindeosphaeridae Kozur & Mostler, 1981 † (original description)
Hinedorcidae Kozur & Mostler, 1981 † accepted as Ultranaporidae Pessagno, 1977 † (original description)
Karnospongella Kozur & Mostler, 1981 † (original description)
Katorella Kozur & Mostler, 1981 † (original description)
Kulacella Kozur & Mostler, 1981 † (original description)
Livarella Kozur & Mostler, 1981 † (original description)
Livarellidae Kozur & Mostler, 1981 † (original description)
Mesosaturnalis Kozur & Mostler, 1981 † (original description)
Muellericyrtiidae Kozur & Mostler, 1981 † (original description)
Muellericyrtium Kozur & Mostler, 1981 † (original description)
Mulderella Kozur & Mostler, 1981 † (original description)
Neopaurinella Kozur & Mostler, 1981 † (original description)
Nevanellus Kozur & Mostler, 1981 † (original description)
Norispongus Kozur & Mostler, 1981 † (original description)
Palacantholithidae Kozur & Mostler, 1981 † (original description)
Palaeospongurus Kozur & Mostler, 1981 † (original description)
Palaeothalomnus Deflandre, 1973 † (verified source for family)
Palhindeolithidae Kozur & Mostler, 1981 † (original description)
Palhindeolithus Deflandre, 1973 † (verified source for family)
Paraheptacladus Kozur & Mostler, 1981 † (original description)
Paraplafkerium Kozur & Mostler, 1981 † (original description)
Pararuesticyrtium Kozur & Mostler, 1981 † (original description)
Paratriassoastridae Kozur & Mostler, 1981 † (original description)
Paratriassoastrum Kozur & Mostler, 1981 † (original description)
Parentactiniidae Kozur & Mostler, 1981 † accepted as Palaeoscenidiidae Riedel, 1967 † (original description)
Paroertlispongus Kozur & Mostler, 1981 † (original description)
Paurinella Kozur & Mostler, 1981 † (original description)
Pentaporobrachia Kozur & Mostler, 1981 † (original description)
Pessagnocyrtium Kozur & Mostler, 1981 † (original description)
Picapora Kozur & Mostler, 1981 † (original description)
Planispinocyrtidae Kozur & Mostler, 1981 † (original description)
Praemesosaturnalis Kozur & Mostler, 1981 † (original description)
Pseudostylosphaera Kozur & Mostler, 1981 † (original description)
Renila Kozur & Mostler, 1981 † (original description)
Rikivatella Kozur & Mostler, 1981 † (original description)
Sepsagonidae Kozur & Mostler, 1981 † accepted as Hindeosphaeridae Kozur & Mostler, 1981 † (original description)
Setalella Kozur & Mostler, 1981 † (original description)
Spinopoulpus Kozur & Mostler, 1981 † (original description)
Sulovella Kozur & Mostler, 1981 † (original description)
Tirodella Kozur & Mostler, 1981 † (original description)
Tirodellidae Kozur & Mostler, 1981 † (original description)
Triarcella Kozur & Mostler, 1981 † (original description)
Triassocingula Kozur & Mostler, 1981 † (original description)
Triassospongosphaera Kozur & Mostler, 1981 † (original description)
Triassothamnus Kozur & Mostler, 1981 † (original description)
Veghia Kozur & Mostler, 1981 † (original description)
Weverisphaera Kozur & Mostler, 1981 † (original description)
Wuranella Kozur & Mostler, 1981 † (original description)
Xiphotheca de Wever in de Wever, Sanfilippo, Riedel & Gruber, 1979 † (verified source for family)
Xiphothecidae Kozur & Mostler, 1981 † (original description)