| Professor William Miller FBA, FRSE | Year of birth 1943 | Year of death 2020 | Year elected 1994 | Fellowship category UK |
| Professor Toby Milsom QC, FBA | Year of birth 1923 | Year of death 2016 | Year elected 1967 | Fellowship category UK |
| Professor Alan Milward FBA | Year of birth 1935 | Year of death 2010 | Year elected 1987 | Fellowship category UK Emeritus |
| Dr Lorenzo Minio-Paluello FBA | Year of birth 1907 | Year of death 1986 | Year elected 1957 | Fellowship category UK |
| Sir Ellis Minns FBA | Year of birth 1874 | Year of death 1953 | Year elected 1925 | Fellowship category UK |
| Professor Vladimir Minorsky FBA | Year of birth 1877 | Year of death 1966 | Year elected 1943 | Fellowship category Corresponding |
| Sir James Mirrlees FBA, FRSE | Year of birth 1936 | Year of death 2018 | Year elected 1984 | Fellowship category UK |
| Professor Basil Mitchell FBA | Year of birth 1917 | Year of death 2011 | Year elected 1983 | Fellowship category UK Emeritus |
| Dr James Mitchell FBA | Year of birth 1918 | Year of death 1995 | Year elected 1990 | Fellowship category UK |
| Professor Terence Mitford FBA | Year of birth 1905 | Year of death 1978 | Year elected 1974 | Fellowship category UK |
| Professor Dr Einar Molland FBA | Year of birth 1908 | Year of death 1976 | Year elected 1971 | Fellowship category Corresponding |
| Professor Arnaldo Momigliano KBE, FBA | Year of birth 1908 | Year of death 1987 | Year elected 1954 | Fellowship category UK |
| Professor Dr Hans Mommsen FBA | Year of birth 1930 | Year of death 2015 | Year elected 1993 | Fellowship category Corresponding |
| Mr David Binning Monro FBA | Year of birth 1836 | Year of death 1905 | Year elected 1902 | Fellowship category UK |
| Professor Theodore William Moody FBA | Year of birth 1907 | Year of death 1984 | Year elected 1977 | Fellowship category Corresponding |
| Revd Canon Edward Moore FBA | Year of birth 1835 | Year of death 1916 | Year elected 1906 | Fellowship category UK |