Vice president that was not the same party as president?

In 1796, when John Adams was elected President, the Vice Presidency went to his opponent, Thomas Jefferson. At that time, instead of electing the Vice President separately, whoever finished second in the Presidential election became Vice President, and Jefferson received more votes than Adams' running mate, Thomas Pinckney.

In 1864, when Republican President Abraham Lincoln ran for reelection, instead of running with his Vice President, Hannibal Hamlin, again, he ran with Democrat Andrew Johnsonas National Union Party candidates.