According to C.R. Fraser Jenkins (2008) 16 species, e.g. B. appendiculata (Willd.) K.Iwats., B. thommankuthiana Nampy, B. semicordata (Baker) Ching, B. costulata (Hook.) Fras.-Jenk., B. sinensis (Baker) K.Iwats., B. subcrenatoides Fras.-Jenk., B. angustipinna (Hayata) Ching, B. asplenifolia, B. costata, B. crispatula, B. nodiflora, B. presliana, B. virens.
4. Stipe scaly at the base, rachis and costa very sparsely scaly;
lateral sterile pinnae less than 20 pairs; pinnae subentire or
shallowly lobed B. sinensis
4. Stipe, rachis and costa underneath densely scaly; lateral
sterile pinnae more than 30 pairs; pinnae lobed more than
halfway towards the costa B. tonkinensis
1. Veins more or less anastomosing
5. Areoles with free included veinlets
6. Veins forming a costal areole, otherwise free; terminal
segment similar to the lateral ones
7. Fertile pinnae more or less pteridoid, sporangia inserted
along the margin only B. copelandii
7. Fertile pinnae acrostichoid, sporangia inserted all over
the lower surface B. crispatula
6. Veins forming 2 to more areoles
8. Terminal segment similar to the lateral ones
B. yunnanensis
8. Terminal segment different from the lateral ones
9. Fronds in 2 series on rhizome, terminal segment [+ or -]
conform to the pinnae B. heteroclita
9. Fronds in 3 series on rhizome, terminal segment
triangular B. christensenii
5. Areoles lacking free included veinlets
10. Rhizome high climbing, up to 2 m B. scandens
10. Rhizome terrestrial or epiphyte, short-creeping
11. Lamina hard, coriaceous, lustrous when dried, lateral veins
regular, obvious on both sides B. viriens
11. Lamina herbaceous to chartaceous, matte, lateral veins
obscure
12. Dried lamina purplish B. scalpturata
12. Dried lamina greenish
13. Margin of pinnae usually shallowly lobed, rounded or
rounded cuneate at the base, terminal segment acute
or short-flagelloid B. subvardata
13. Margin of pinnae entire, narrowly cuneate at the
base, terminal segment similar to the lateral ones
B. Ianceolata
If you make the count in the key table there are 14 species. Kryzstoff Piatek suggests 16. I figger that in India there must be around and between 12 to 18 species, as a first approaximation. Maybe the Indian biodiversity portal gives a more conclusive outcome.