Heteroxyidae Dendy, 1905
Didiscus aceratus (Ridley & Dendy, 1886)
Didiscus anisodiscus Vacelet & Vasseur, 1971
Didiscus oxeata Hechtel, 1983
Didiscus placospongioides Dendy, 1922
Didiscus pseudodidiscoides (Corriero, Scalera-Liaci & Pronzato, 1996)
Didiscus spinoxeatus Corriero, Scalera-Liaci & Pronzato, 1997
Didiscus stylifer Tsurnamal, 1969
Didiscus verdensis Hiemstra & van Soest, 1991