- Holotype: B. ornata Eichwald, 1840
- B. africana Long et al., 1997
- B. alexi Young, 1988
- B. alvesiensis Stensio, 1948
- B. amankonyrica Malinovskaja, 1988
- B. antarctica Woodward, 1921
- B. askinae Young, 1988
- B. babichevi Malinovskaja, 1992
- B. barretti Young, 1988
- B. bindareii Long, 1983
- B. canadensis Whiteaves, 1880
- B. cellulosa Pander, 1846
- B. ciecere Lyarskaja, 1974
- B. coloradensis Eastman, 1904
- B. cristata Traquair, 1895
- B. cullodenensis Long, 1983
- B. darbiensis Denison, 1951
- B. dorakarasugensis Moloshnikov, 2009
- B. evaldi Lyarskaja, 1986
- B. favosa Agassiz, 1844
- B. fergusoni Long, 1983
- B. gigantea Traquair, 1888
- B. gippslandiensis Hills, 1929
- B. grenfellensis Johanson, 1996
- B. groenlandica Heintz, 1930
- B. hayi Miles, 1968
- B. heckeri Luksevics, 2001
- B. hicklingi Miles, 1968
- B. hydrophila Agassiz, 1844
- B. jani Luksevics, 1986
- B. jarviki Stensio, 1948
- B. jazwicensis Szrek, 2004
- B. jeremijevi
- B. karawaka Young, 1988
- B. kassini Malinovskaja, 1988
- B. kohni Young, 1988
- B. kwangtungensis Pan, 1964
- B. laverocklochensis Miles, 1968
- B. leptocheira Traquair, 1893
- B. lochangensis Pan, 1964
- B. lohesti Leriche, 1931
- B. macphersoni Young, 1988
- B. macrocephala Egerton, 1862
- B. maeandrina
- B. markovskii Moloshnikov, 2010
- B. mawsoni Young, 1988
- B. maxima Gross, 1933
- B. meandrina Horrmann, 1911
- B. minor Newberry, 1889
- B. nielseni Stensio, 1948
- B. nikitinae Malinovskaja, 1988
- B. nitida Leidy, 1856
- B. niushoushanensis Pan & Wang, 1980
- B. obesa Traquair, 1888
- B. obrutschewi Gross, 1934
- B. ornata Andrews, 1982
- B. panderi Lahusen, 1880
- B. paradoxa Agassiz, 1845
- B. pavariensis Lyarskaja, 1974
- B. perija Young & Moody, 2002
- B. portalensis Young, 1988
- B. prima Gross, 1934
- B. rex Downs et al., 2016
- B. sanzarensis Moloshnikov, 2010
- B. shaokuanensis Liu, 1963
- B. sibrica Obruchev, 1941
- B. sinensis Chi, 1940
- B. sosnensis Moloshnikov, 2003
- B. stevensoni Miles, 1968
- B. tastenica Malinovskaja, 1988
- B. tatongensis Long & Werdelin, 1985
- B. taylori Miles, 1968
- B. traquairi Bryant, 1924
- B. trautscholdi Jaekel, 1927
- B. tungseni Chang, 1965
- B. turanica Obruchev, 1939
- B. verrucosa Young & Gorter, 1981
- B. virginiensis Weems et al., 1981
- B. volongensis Lyarskaja & Luksevics, 1998
- B. vuwae Young, 1988
- B. warreni Long, 1983
- B. wilsoni Miles, 1968
- B. yeungae Johanson, 1998
- B. yunnanensis Liu, 1962
- B. zadonica Obrucheva, 1983
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