I was curious about whether there has ever been a rematch for the president of the United States of America. Turns out there was, and not just once, but a half dozen times!
1952 and 1956. Eisenhower won both times
1896 and 1900. McKinley won both times
1888 and 1892. Split, but Grover Cleveland won in 1884, lost in 88 and won in 92.
1836 and 1840. Split
1825 and 1828. Split
1789 and 1792. Washington won both times
It's interesting to see how rare it has been over the past 100 years, but how common it was in the 1800s.
Source: https://en.m.wikipedia.org/wiki/List_of_United_States_presidential_candidates