| Polypodium araneosum M. Martens & Galeotti, 1842 |
| Polypodium arcanum Maxon, 1938 |
| Polypodium arcanum var. arcanum Maxon, 1938 |
| Polypodium arcanum var. bakeri (Davenp.) Mickel & Tejero, 2004 |
| Polypodium arcanum var. septentrionale Mickel, 2004 |
| Polypodium areolatum Humb. & Bonpl. ex Willd., 1810 |
| Polypodium aromaticum Maxon, 1904 |
| Polypodium asplenifolium L., 1753 |
| Polypodium astrolepis Liebm., 1849 |
| Polypodium atrum A.M. Evans, 1969 |
| Polypodium aureum L., 1753 |
| Polypodium balbisii Spreng., 1821 |
| Polypodium basiattenuatum Jenman, 1897 |
| Polypodium bernoullii Baker, 1874 |
| Polypodium biauritum Maxon, 1909 |
| Polypodium biserratum M. Martens & Galeotti, 1842 |
| Polypodium blandulum Christ, 1907 |
| Polypodium blepharodes (Maxon) Copel., 1914 |
| Polypodium bolivianum Rosenst., 1908 |
| Polypodium brachyodus Kunze, 1834 |