How to get this one
Ok, after a lot of hazzle, I finally got this achievement. My settings:
Epic game, Chieftain difficulty (you want other civs to reach industrial era before you get gray hair), pangea (irrelevant), Egypt (also irrelevant I think).
Victory conditions: Only diplomatic! Important! This ensures that the game will be long enough for you to do your stuff.
Objectives: You want the civ who is targeted to reach such low happiness that a revolt will happen. Capture his cities, build all types of food for growth and remove all happiness structures from this city and pillage all happiness resources. Grow these cities to around 20, then just give it back to the target.
Other factors may apply, as to which type he will change to, but after handing over the cities like this, hence causing a massive unhappiness in the AI empire, the change happened the following turn.