Golden Ages started by Great People don't count as far as I can tell. Do all golden ages have to be from Happiness? What about from say Reformation or Rationalism, the cultural GAs?
The achievement will only trigger on 'natural' golden ages which come from citizen happiness.
Any of the ages which you can trigger yourself, via social policy or great people don't count.
If you are trying to nail the badges, the best solution is to focus on happiness improvements, and grab Meritocracy and Organized Religion.