Obama makes history as the first Presidential candidate to win by more than 80% in any state (Hawaii) and comes close in another (77% in Rhode Island).
In 1932, 36, 40, and 44, FDR won MS and SC by more than 90%. In 1932, he also won LA and GA by more than 80%.
Most Southern elections of the time would not now qualify as free elections (racial exclusions, property qualifications that most people couldn't meet).
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Outside of the south, here are some other 80%+ performances:
1964 Rhode Island - 80.87% (Johnson)
1896 Colorado - 84.95% (Jennings)
1896 Nevada - 81.21% (Jennings)
1896 Utah - 82.70% (Jennings)
1896 Vermont - 80.08% (McKinley)
(may not count....)
1824 Maine - 81.50% (JQ Adams)
1824 New Hampshire - 93.59% (JQ Adams)
1824 Rhode Island - 91.47% (JQ Adams)