An Experiment In The Causes Of Warfare

The President of Europe has not been elected; he was appointed in a secret meeting of the heads of government of the 27 EU member states. They chose one of their own. Herman Van Rompuy was the Prime Minister of Belgium.
http://www.brusselsjournal.com/node/4181

Many a nation has had a civil war in order to remove an unelected leader - most usually a king.
King Charles I of England comes readily to mind.