This topic has been done several times already. And why start in 1896?
If you lived at the time and could vote, how would you have voted in each Presidential election not knowing what will occur in the future?
My list:
1896: McKinley
1900: McKinley
1904: T. Roosevelt
1908: Taft
1912: T. Roosevelt
1916: Wilson
1920: Harding
1924: Coolidge
1928: Hoover
1932: FDR
1936: FDR
1940: FDR
1944: FDR
1948: Truman
1952: Stevenson
1956: Stevenson
1960: JFK
1964: LBJ
1968: Humphrey
1972: Nixon
1976: Carter
1980: Reagan
1984: Reagan
1988: Bush Sr.
1992: Clinton
1996: Clinton
2000: Gore
2004: Kerry
2008: Obama