President of Argentina
Under the 1994 constitutional amendment, the President serves for four years, with a possibility of immediate reelection for one more term. However, unlike the President of the United States, in Argentina, a person may be reelected again after serving for two terms and staying out of office for the following term. So after serving for two consecutive periods, the president is not allowed to run for a third consecutive one, but may return for the two following elections and so on. There is no limit for a person to be a candidate if he or she does not win the elections.
Confederate States of America
The Permanent Constitution provided for a President of the Confederate States of America, elected to serve a six-year term but without the possibility of re-election. Unlike the United States Constitution, the Confederate Constitution gave the president the ability to subject a bill to a line item veto, a power also held by some state governors.