DrDeth, the President of Finland has more than merely ceremonial powers, and since 1994 has been directly elected by the people. The incumbent is female (and somewhat resembles Conan O’Brien, who did not fail to notice this): Tarja Halonen - Wikipedia
Nicaragua, Indonesia and the Philippines have all had female presidents who were not just figurehead leaders.
You are correct. While the resident of Finland is not quite as powerful as a US President, she does wield much more than ceremonial powers.
In fact, the seem to be a fair number of woman Presidents where the Office does wield some real power.
Ben Briscoe, a Jew, was the Mayor of Dublin (largely ceremonial position). A number of Irish-Jews, however, held very senior positions in the Irish government post-independence.
And his father, Robert, was elected before him. Pre-Independence, William Ames/Annyas was the mayor of Youghal in 1555, making him the first Jew to hold elected office in the British Isles. Latter, Sir Otto Jaffe was elected Lord Mayor of Belfast in 1899.
Add Liberia to that list: Ellen Johnson Sirleaf - Wikipedia
The governor of my state (Tucumán) is also jewish, and considering he was one of the few peronist leaders that did well in the past elections he is one of the possible candidates for the presidency.
I rmember learning about Urho Kekkonen, a name which sounds like a Klingon in retrospect. 
Now that’s a minority!
There have also been some minority governors of U.S. states, perhaps most notably Gary Locke of Washington State, who is now U.S. Secretary of Commerce: Gary Locke - Wikipedia
Actually, if you count all the people with eyesight corrections (glasses or contacts), I think that is a majority in either the UK or the USA (and probably other developed nations, too).