Teddy Roosevelt probably rematches and defeats Wilson in 1916, but like Ford in 1980, he declined to run.
And if the binary is no longer assumed, 1996 is a rematch of 1992 with both Clinton and Perot.
TR was only even an option for the Progressive ticket, and declined it out of fear Wilson would win again (which, of course, happened anyway). Republicans would never have taken him back, because the party was a complete joke post-1876 and only one time ever nominated a great candidate again (1904), and even that was purely by accident (TR unexpectedly assuming the presidency from the vice presidency where he had been condemned to die). If the Republicans actually wanted to be a good party and/or do good things, the obvious thing to do would have been to nominate Teddy in both 1912 and 1916, but the fact of the matter is TR was in the wrong party all along. He had admirable goals, but he was never going to get anywhere very far for very long if he insisted on sticking to a party that was antithetical to those goals. The right man for the right time won in those years instead. So be it.
And no, I'm not really counting third party candidates anyway, otherwise you could even say the likes of Nader and Stein were "rematches."
