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Albania is an example: it had a very complicated history in the early twentieth century. The Provisional Government of Albania was established in 1912 as part of the Balkan Wars which removed the Ottoman Empire from almost all of the Balkans. That was followed by a monarchy, the Principality of Albania, 1913-25, under a German prince, and then the Albanian Republic from 1925-28.
Ahmet Zogu was Prime Minister of the Principality, 1922-25, the sole President of the Republic, then became King Zog I in 1928 as monarch of the Kingdom of Albania. This lasted until spring 1939, when Italy took over Albania and the former royal family went into exile. Zog was not related to the German prince, or the Ottoman Emperors. For extra complexity, it appears that the English sportsman C B Fry was offered the throne of Albania in the early 1920s.
Another example is the French Second Republic from 1848-51. It was formed in a revolution against the French monarchy, which had been restored after the downfall of Napoleon I. Its president was Charles-Louis NapolΓ©on Bonaparte, the nephew of Napoleon I, who seized power in 1851 and established the Second French Empire, which lasted until its defeat in the Franco-Prussian war of 1870-71, following which France has had three further distinct republics, and several interim administrations.