In this website, a total number of 2136 species from 40 families are listed as follow:
Aslpeniaceae ● Athyriaceae ● Blechnaceae ● Cibotiaceae ● Cyatheaceae ● Cystodiaceae ● Cystopteridaceae ● Davalliaceae ● Dennstaedtiaceae ● Dicksoniaceae ● Didymochlaenaceae ● Diplaziopsidaceae ● Dipteridaceae ● Dryopteridaceae ● Equisetaceae ● Gleicheniaceae ● Hymenophyllaceae ● Hypodematiaceae ● Lindsaeaceae ● Lomariopsidaceae ● Lycopodiaceae ● Lygodiaceae ● Marattiaceae ● Marsileaceae ● Matoniaceae ● Nephrolepidaceae ● Oleandraceae ● Ophioglossaceae ● Osmundaceae ● Plagiogyriaceae ● Polypodiaceae ● Psilotaceae ● Pteridaceae ● Rhachidosoraceae ● Saccolomataceae ● Salviniaceae ● Schizaeaceae ● Selaginellaceae ● Tectariaceae ● Thelypteridaceae
References
Hassler, Michael (2004 onwards): World Ferns. Synonymic Checklist and Distribution of Ferns and Lycophytes of the World. Version 12.3; last update May 28th, 2021. – www.worldplants.de/ferns/. Last accessed 27 June 2021.