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.
Vice President of the Confederate States of America
The major difference between the U.S. and the C.S. Vice Presidencies was that the Confederate term in office was six years long. The President was explicitly forbidden from running for a second term by the constitution, but the Vice President was not. It was unclear whether or not a Vice President, who became President in the middle of a term, could run for his own term afterward.