Don’t know if one would call the coinage of the Order of Malta a “country” per se, even if the mint is located in Rome. I still find those coins an interesting curiosity. Found this 1964 2 Scudo proof that has a mintage of only 1,000. Definitely unusual.
The OoM is actually recognized as an international entity by quite a few nations, and for a brief period in the 1950's they even had their own Air Force using Italian aircraft with OoM markings for their charitable projects.