This is a pretty good idea. I like what I've been reading so far on this thread. Here are a few samples of my random events.
Political Events: Random events involving political issues. Theses events involve switching from a democrat to a republican or people protesting against a war or confronting your leader about a conspiracy. All these events will never get old and don't get surprised if you see hundreds of these political events start popping up daily for the simple fact these are all events that happen everyday all around the world. So unlike the natural disaster events this will never get old because politics constantly change everyday which is what these events are based from. Everyday politics.
Event 1: Taxes are to high
Mr. President the great people of [Civ_Name] demand that you lower taxes. Many people cannot afford it and many choose not to pay it. What should we do?
Option 1: Who are they to demand anything! We will raise taxes just for that! +2 taxes from all cities.
Option 2: Okay I see how they feel. We will lower the taxes.
Event 2: Abortion laws
Sire, the women of our great civilization demand womens rights. They feel that they should do what they want with their body. Many of them want an abortion because they fear that they may die in child birth or may not be able to provide for the child. But at the same there are many people that oppose this and are against it. Many religious groups are saying this is a terrible idea and it is an abomination against god. On the other hand our science advisers seem to support abortion. They say it will greatly increase scientific research. What do you want?
Women deserve their rights and fetus' could boost our scientific research you say? Give me the papers I need to have the abortion law made legal.
(+1
, -1
in all cities with temples, -10% growth in largest cities, +10

in all cities.)
What? Sorry but I cannot go against the people of our religion.
(+1
in cities with temples, -1
in all cities with free speech)