| Rt Hon Lord Thomas Bingham of Cornhill KG, Hon FBA | Year of birth 1933 | Year of death 2010 | Year elected 2003 | Fellowship category Honorary |
| Professor Peter Birks QC, FBA | Year of birth 1941 | Year of death 2004 | Year elected 1989 | Fellowship category UK |
| Professor Eric Birley MBE, FBA | Year of birth 1906 | Year of death 1995 | Year elected 1969 | Fellowship category UK |
| Professor Bernhard Bischoff FBA | Year of birth 1900 | Year of death 1991 | Year elected 1960 | Fellowship category Corresponding |
| Mr Alan Bishop FBA | Year of birth 1907 | Year of death 1994 | Year elected 1971 | Fellowship category UK |
| Professor Dr Kurt Bittel FBA | Year of birth 1907 | Year of death 1991 | Year elected 1963 | Fellowship category Corresponding |
| Professor Duncan Black FBA | Year of birth 1908 | Year of death 1991 | Year elected 1989 | Fellowship category UK |
| Revd Professor Matthew Black FBA | Year of birth 1908 | Year of death 1994 | Year elected 1955 | Fellowship category UK |
| Professor Robert Black FBA, MRIA | Year of birth 1922 | Year of death 2008 | Year elected 1974 | Fellowship category UK |
| Dr Carmen Blacker OBE, FBA | Year of birth 1924 | Year of death 2009 | Year elected 1989 | Fellowship category UK |
| Professor Alyward Manley Blackman FBA | Year of birth 1883 | Year of death 1956 | Year elected 1952 | Fellowship category UK |
| Lord Robert Blake FBA | Year of birth 1916 | Year of death 2003 | Year elected 1967 | Fellowship category UK |
| Professor Brand Blanshard FBA | Year of birth 1892 | Year of death 1987 | Year elected 1951 | Fellowship category Corresponding |
| Professor Joshua Blau FBA | Year of birth 1919 | Year of death 2020 | Year elected 1983 | Fellowship category Corresponding |
| Professor Mark Blaug FBA | Year of birth 1927 | Year of death 2011 | Year elected 1989 | Fellowship category UK |
| Professor Carl Blegen FBA | Year of birth 1887 | Year of death 1971 | Year elected 1949 | Fellowship category Corresponding |