How about Nixon in '56? Ike very nearly didn't run for reelection in OTL. Suppose he decides not to run. Despite Ike's private opposition, Nixon defeats Bill Knowland for the Republican nomination, picks Christian Herter as VP and defeats Stevenson in the General Election.
Four years later in 1960, Nixon gets stuck with the baggage of the '58 recession, Sputnik, and the Cuban Revolution. Kennedy beats Nixon, making Nixon the youngest ex-president (just 46) in history.
Assuming things unfold as in OTL, eight years later in 1968, Nixon returns and claims he's the only candidate capable of restoring order. In '72, he backs Connolly behind the scenes, but ultimately Reagan defeats both Connolly and Agnew then beats whoever the Democrats nominate.
So you get:
34. Dwight D. Eisenhower (R): 1953-1957
35. Richard M. Nixon (R): 1957-1961
36. John F. Kennedy (D): 1961-1963
37. Lyndon B. Johnson (D): 1963-1969
38. Richard M. Nixon (R): 1969-1973
39. Ronald Reagan (R): 1973-1981
And beyond that, the butterflies grow too big. But that may be a possibility.
Four years later in 1960, Nixon gets stuck with the baggage of the '58 recession, Sputnik, and the Cuban Revolution. Kennedy beats Nixon, making Nixon the youngest ex-president (just 46) in history.
Assuming things unfold as in OTL, eight years later in 1968, Nixon returns and claims he's the only candidate capable of restoring order. In '72, he backs Connolly behind the scenes, but ultimately Reagan defeats both Connolly and Agnew then beats whoever the Democrats nominate.
So you get:
34. Dwight D. Eisenhower (R): 1953-1957
35. Richard M. Nixon (R): 1957-1961
36. John F. Kennedy (D): 1961-1963
37. Lyndon B. Johnson (D): 1963-1969
38. Richard M. Nixon (R): 1969-1973
39. Ronald Reagan (R): 1973-1981
And beyond that, the butterflies grow too big. But that may be a possibility.