Well America had ONE more opportunity between January 20, 1993 and January 20, 2001 for history to repeat itself, but it looks like that chance was blown.
1840 ... William Henry Harrison
1860 ... Abraham Lincoln
1880 ... James A. Garfield
1900 ... William McKinley
1920 ... Warren G. Harding
1940 ... Franklin D. Roosevelt
1960 ... John F. Kennedy
1980 ... Ronald W. Reagan
2000 ... George W. Bush?