1789-1792: Federalist
1796-1824: Republican
1828-1852: Democrat
1856-1864: Republican
1868-1892: Democrat
1896-1908: Republican
1912: Democrat
1916-1924: Republican
1928-1932: Democrat
1936-1944: Republican
1948: Democrat
1952-1988: Republican
1992-present: Democrat
It's not necessarily who you would vote for, just what party you would have been a part of. For example, I would have been a Republican voting for Johnson in 1964.
Take your vote in 1992 for example. Just because you supported Bill Clinton doesn't mean you would have changed your registration to Democrat.