Basipodella Becker, 1975 (basis of record)
Basipodellidae Boxshall & Lincoln, 1983 (basis of record)
Deoterthridae Boxshall & Lincoln, 1987 accepted as
Cumoniscidae Nierstrasz & Brender à Brandis, 1923 (basis of record)
Doryphallophora Huys, 1991 (basis of record)
Doryphallophoridae Huys, 1991 (basis of record)
Microdajidae Boxshall & Lincoln, 1987 (basis of record)
Microdajus Greve, 1965 (basis of record)
Microdajus gaelicus Boxshall & Lincoln, 1987 (basis of record)
Onceroxenidae Huys, 1991 (basis of record)
Onceroxenus Boxshall & Lincoln, 1987 (basis of record)
Onceroxenus birdi Boxshall & Lincoln, 1987 (basis of record)
Tantulacus Huys, Andersen & Kristensen, 1992 (basis of record)