- Hippocardia ancora Hoare, Steinker & Mapes, 1988 † accepted as Hadropipetta ancora (Hoare, Steinker & Mapes, 1988) †
- Hippocardia cooperi Pojeta & Runnegar, 1976 † accepted as Iapetocardia cooperi (Pojeta & Runnegar, 1976) †
- Hippocardia pala Hoare, Steinker & Mapes, 1988 † accepted as Baiosoma pala (Hoare, Steinker & Mapes, 1988) †
- Hoareicardia cunea (Conrad, 1840) †
- Pleurorhynchus australis McCoy, 1847 † (uncertain > unassessed)