- Achnanthes brevipes C.Agardh, 1824
- Achnanthes vicentii Manguin, 1957 (uncertain > unassessed)
- Cocconeis antiqua J.A.Tempère & J.-J.Brun, 1889 †
- Cocconeis costata Gregory, 1855
- Cocconeis costata var. antarctica Manguin, 1960 (uncertain > unassessed)
- Cocconeis fasciolata (Ehrenberg) N.E.Brown, 1920 accepted as Rhaphoneis fasciolata var. fasciolata Ehrenberg, 1844
- Cocconeis infirmata Manguin, 1957 (uncertain > unassessed)
- Cocconeis schuettii van Heurck, 1909 accepted as Cocconeis antiqua J.A.Tempère & J.-J.Brun, 1889 †