| Professor Morton Wilfred Bloomfield FBA | Year of birth 1913 | Year of death 1987 | Year elected 1975 | Fellowship category Corresponding |
| Professor Anthony Blunt FBA | Year of birth 1907 | Year of death 1983 | Year elected 1950 | Fellowship category UK |
| Mr Christopher Blunt OBE, FBA | Year of birth 1904 | Year of death 1987 | Year elected 1965 | Fellowship category UK |
| Dr Tom Boase FBA | Year of birth 1898 | Year of death 1974 | Year elected 1961 | Fellowship category UK |
| Professor Norberto Bobbio FBA | Year of birth 1900 | Year of death 2004 | Year elected 1965 | Fellowship category Corresponding |
| Professor Axel Boëthius FBA | Year of birth 1889 | Year of death 1969 | Year elected 1950 | Fellowship category Corresponding |
| Professor Dwight Bolinger FBA | Year of birth 1907 | Year of death 1992 | Year elected 1990 | Fellowship category Corresponding |
| Dr James Bonar FBA | Year of birth 1852 | Year of death 1941 | Year elected 1930 | Fellowship category UK |
| Professor Campbell Bonner FBA | Year of birth 1876 | Year of death 1954 | Year elected 1942 | Fellowship category Corresponding |
| Professor Jean Bony FBA | Year of birth 1908 | Year of death 1985 | Year elected 1972 | Fellowship category Corresponding |
| M Charles Borgeaud FBA | Year of birth 1861 | Year of death 1940 | Year elected 1917 | Fellowship category Corresponding |
| Professor Bernard Bosanquet FBA | Year of birth 1848 | Year of death 1923 | Year elected 1903 | Fellowship category UK |
| Professor Karl Bosl FBA | Year of birth 1908 | Year of death 1993 | Year elected 1971 | Fellowship category Corresponding |
| Professor John Bossy FBA | Year of birth 1933 | Year of death 2015 | Year elected 1993 | Fellowship category UK Emeritus |
| Professor Edmund Bosworth FBA | Year of birth 1928 | Year of death 2015 | Year elected 1992 | Fellowship category UK Emeritus |
| Professor Raymond Boudon FBA | Year of birth 1934 | Year of death 2013 | Year elected 1997 | Fellowship category Corresponding |