; Schul-Bot. 109 (1831)
48 genera, ca. 1350 spp. The family has been split extensively in smaller subgroups, but Smith et al. (2006) and PPG-I argue for keeping them together.
= Acrostichaceae Mett. ex A.B.Frank; Syn. Pflanzenkd. (Leunis) ed. 2, 3: 1458 (1877), nom. rej.
= Actiniopteridaceae Pic.Serm.; Webbia 17: 5 (1962)
= Adiantaceae Newman; Hist. Brit. Ferns: 5 (1840) nom. cons. over Parkeriaceae (1825)
= Anopteraceae Doweld; Tent. Syst. Pl. Vasc.: 51 (2001)
= Antrophyaceae (Link) Ching; Acta Phytotax. Sin. 16: 11 (1978)
= Ceratopteridaceae Underw.; Our nat. Ferns ed. 6: 65, 78 (1900)
= Cheilanthaceae B.K.Nayar; Taxon 19: 233 (1970)
= Cryptogrammaceae Pic.Serm.; Webbia 17: 299 (1963)
= Hemionitidaceae Pic.Serm.; Webbia 21: 487 (1966)
= Negripteridaceae Pic.Serm.; Nuovo Giorn. Bot. Ital., ser. 2, 53: 160 (1946)
= Parkeriaceae Hook.; Exot. Fl. 2: t. 147 (1825), nom. rej. in favor of Adiantaceae
= Platyzomataceae Nakai; Bull. Natl. Sci. Mus., Tokyo, 29: 4 (1950)
= Pteridaceae Reichenb.; Handb. Nat. Pfl.-Syst. 138 (1837)
= Sinopteridaceae Koidz.; Acta Phytotax. Geobot. 3: 50 (1934)
= Taenitidaceae (C.Presl) Pic.Serm.; Webbia 29: 1 (1974)
= Vittariaceae Ching; Sunyatsenia 5: 232 (1940)