| Azpeitia nodulifera (A.W.F. Schmidt) G.A. Fryxell & P.A. Sims, 1986 |
| Azpeitia tabularis (Grunow) G.A. Fryxell & P.A. Sims, 1986 |
| Azpeitia vetustissima (Pant.) P.A. Sims, 1986 |
| Hemidiscaceae Hendey, 1937 |
| Hemidiscus G.C. Wall., 1860 |
| Hemidiscus cuneiformis G.C. Wall., 1860 |
| Hemidiscus cuneiformis var. cuneiformis G.C. Wall., 1860 |
| Hemidiscus cuneiformis var. gibba (Bailey) Hust., 1930 |
| Hemidiscus cuneiformis var. orbicularis (Castrac.) Hust., 1930 |
| Hemidiscus cuneiformis var. recta (Castrac.) Hust. |
| Hemidiscus cuneiformis var. ventricosa (Castrac.) Hust., 1930 |
| Hemidiscus hardmannianus (Grev.) D.G. Mann, 1907 |
| Hemidiscus kanayanus Simonsen, 1972 |
| Pseudoguinardia Stosch, 1986 |
| Pseudoguinardia recta Stosch, 1986 |
| Roperia Grunow ex Pelletan, 1889 |
| Roperia tesselata (Roper) Grunow ex Pelletan, 1889 |