The astigmatic mites (excluding feather mites) parasitic on, or associated with Australian vertebrates are reviewed, and keys and illustrations provided to enable separation of all 77 genera and 204 species recognised. Murichirus anabiotus, sp. nov. (Atopomelidae) is described from Pseudocheirus peregrinus (Boddaert) (Marsupialia: Petauridae). New synonymy in Echimyopodidae: Marsupiopus leporilli Fain, 1969a = M. l. pseudomys Fain & Lukoschus, 1976; in Acaridae: Thyreophagus Rondani, 1874 = Michaelopus Fain & Johnston, 1974; in Hypoderatidae: Hypodectes de Filippi, 1861 = Hypodectoides Fain & Bafort, 1966; Hypodectes propus (Nitzsch in Giebel, 1861) = H. p. bubulci Fain, 1967a = H. p. similimus Cerny, 1969; Neottialges Fain, 1966d = Suladectes Fain, 1969b; Tytodectes Fain, 1966d = Caprimuldectes Janssen Duijghuijsen, Lukoschus & Fain, 1979; in Laminosioptidae: Fainocoptes Lukoschus & Lombert, 1979 = Calamicoptes Lukoschus & Lombert, 1979 = Streetacarus Lukoschus & Lombert, 1979; Laminosioptes cisticola (Vizioli, 1868) = Acarus depilis Brown, 1897; in Listrophoridae: Leporacarus Fain, 1970b = Listracarus Domrow, present paper; in Chirodiscidae: Alabidocarpus recurvus (Womersley, 1943) = A. yandinae intersitus Fain & Lukoschus, 1981a; Dentocarpus Dusbabek & Cruz, 1966 = Paradentocarpus Fain, 1976a = Labidocarpellus Fain, 1976a; in Atopomelidae: Austrochirus Womersley, 1943 = Austrochiroides Fain, 1970e; Campylochirus Trouessart, 1893 = Campylochiroides Fain, 1971a; Dasyurochirus Fain, 1970e = Neodasyurochirus Fain, 1972a = Atopomelopsis Fain, 1972a; Dasyurochirus longipilis Fain, 1971a = Atopomelopsis gibberosa Fain, 1972a; D. sminthopsis (Womersley, 1954) = D. s. leucopus Fain & Lukoschus, 1981b; Murichirus Fain, 1971a = Murichiroides Fain, 1971a = Teinocheirus Fain & Lukoschus, 1981c; Murichirus a. alatus Fain & Lukoschus, 1981c = M. a. prosquamatus Fain & Lukoschus, 1981c. A host-parasite list and bibliography are included, and corrigenda and addenda to earlier parts of this checklist are provided. Laelaps elegans Canestrini, 1898 (Laelapidae) is a primary homonym of L. elegans Domrow, 1980a (= L. lampetes, nom. nov.); and L. manguinhosi calvescens Furman, 1972 of L. calvescens Domow, 1980b (= L. deanei, norn. nov.). Liponyssoides adsonis, sp. nov. (Dermanyssidae) is described from Climacteris leucophaea (Latham) (Passeriformes: Climacteridae).