Wikipedia page of the city of Boston, Massachusetts, has the results of the presidential elections in the city since 1972
Presidential election results
2016
D: 80.6% 221,093 R: 13.9% 38,087
2012
D: 78.8% 200,190 R: 19.3% 48,985
2008
D: 79.0% 185,976 R: 19.4% 45,548
2004
D: 77.3% 160,884 R: 21.4% 44,518
2000
D: 71.7% 132,393 R: 19.7% 36,389
1996
D: 73.8% 125,529 R: 19.6% 33,366
1992
D: 62.4% 114,260 R: 22.9% 41,868
1988
D: 65.2% 122,349 R: 33.2% 62,202
1984
D: 63.4% 131,745 R: 36.2% 75,311
1980
D: 53.3% 95,133 R: 32.9% 58,656
1976
D: 60.4% 115,802 R: 35.3% 67,604
1972
D: 66.2% 139,598 R: 33.3% 70,298
https://en.wikipedia.org/wiki/BostonWe can highlight that McGovern 1972 was better than Carter 1976 and 1980, Mondale 1984 and Dukakis 1988. Ford 1976 was better than Reagan 1980, but there was Anderson in 1980. Since 1992, only Bush 2004 had >20% in Boston (against John Kerry!) but we have to consider that there were no strong minor candidates in 2004.
There are no results of previous years, but since we know that the last republican to win Suffolk-MA was Coolidge 1924, and that Boston is more D than Suffolk, we can say that Stevenson won in Boston in 1952 and 1956.