The genus Ceratothoa Dana, 1852, is revised for Australian waters. Ceratothoa is represented in Australia by nine species, including two new species: Ceratothoa barracuda sp. nov. described from Cairns and Ceratothoa globulus sp. nov. described from Lord Howe Island. Ceratothoa imbricata Fabricius, 1775 is redescribed, with Ceratothoa trillesi (Avdeev, 1979) and Ceratothoa huttoni Filhol, 1885 placed into junior synonymy; the preferred hosts are species of the genus Trachurus (Carangidae). Ceratothoa banksii (Leach, 1818) is validated and brought out of synonymy with Ceratothoa imbricata; host species are from the families Kyphosidae, Scombridae, Latridae, Carangidae, Mugilidae, Salmonidae, Scatophagidae, Pomatomidae and Hemiramphidae. Species excluded from the Australian fauna are Ceratothoa trigonocephala (Leach, 1818) with an unknown host identity and type locality; and Ceratothoa lineata Miers, 1876a, that here is transferred to the genus Mothocya Costa, 1851, with Mothocya ihi Bruce, 1986 placed into junior synonymy. Ceratothoa contracta (Miers, 1880), the New Zealand Ceratothoa novaezelandiae Filhol, 1885 and the East Pacific Ceratothoa gaudichaudii (Milne Edwards, 1840) are regarded here as species inquirenda. A key to the Australian species of Ceratothoa is presented.

Ceratothoa carinata (Bianconi, 1869) and Ceratothoa oxyrrhynchaena Koelbel, 1878 are recorded for the first time from Australia and redescribed. Ceratothoa curvicauda Nunomura, 2006 is synonymised with Ceratothoa carinata. Brief ac-counts are given on the distribution and hosts of these species.

Peacock bass (Cichla spp.) originates from the Neotropical environments of Brazil and Venezuela but, through trade and smuggling for aquarium keeping, sport fishing and aquaculture, it is now an emerging concern. Yet, less is known for Cichla spp. distribution and its ability to invade new environments. Aimed to communicate on Cichla spp. ecology, biology and introduction schemes from Scopus, Web of Science, Google Scholar and also National Centre for Biotechnology Information, this review also contains management strategies for invading fish species. While Cichla spp. can displace native fish populations, this concern is explained using ecological functions, physiological demands, direct and secondary invasion, disease tolerance and parasite spillover. Briefly, Cichla spp. has rapid embryogenesis (72 h) and matures in short periods (11–12 months), giving it an advantage to colonize new environments. With a large appetite, this true piscivore gains territorial control over water bodies by making it their feeding and nursery grounds. Perceived as an emerging concern after becoming introduced, seal-off or sport fishing were used to manage Cichla spp. but, this practice is not sustainable for the entire ecosystem. Hence, we recommend bottom-up management that involves community participation because they interact with the fish and have knowledge about their environment.

The genus Cymothoa Fabricius, 1793 is revised for Australian waters. Cymothoa hermani Hadfield, Bruce & Smit, 2011, previously known from Tanzania on the host Selar crumenophthalmus (Bloch, 1793) is new to Australian waters. Cymothoa carangi Avdeev, 1979; Cymothoa epimerica Avdeev, 1979; Cymothoa parupenei Avdeev, 1979; Cymothoa propria Avdeev, 1979; Cymothoa rotunda Avdeev, 1979 and Cymothoa pulchrum Lanchester, 1902 are redescribed. Cymothoa curta Schioedte & Meinert, 1884, first described from the host Anableps anableps (Linnaeus, 1758); and Cymothoa plebeia Schioedte & Meinert, 1884, first described from Cape Verde; are redescribed and excluded from the Australian fauna. Cymothoa limbata Schioedte & Meinert, 1884 is placed into junior synonymy with Cymothoa eremita (Brünnich, 1783). A key to the Australian species of Cymothoa is presented.

Two species of Glossobius Schioedte & Meinert, 1883 are known from Australia: Glossobius anctus Bruce & Bowman, 1989 and Glossobius impressus (Say, 1818), the latter recorded here for the first time from Australia and southern Africa. Glossobius ogasawarensis Nunomura, 1994 is here placed in synonymy with Glossobius auritus Bovallius, 1885; whereas Glossobius crassa (Dana, 1853) is removed from synonymy with G. auritus and placed into nomen dubium. Glossobius arimae Nunomura, 2001 is transferred to the genus Ceratothoa Dana, 1852. A key to the species of Glossobius is presented.