Hubby surprised me with a flying lesson, I loved it, even thou I was hungover. The lesson was in Coventry, the instructor was very informative, I would have loved to take it up and learn more, just never got round to it, and obviously the expense.
There's an airfield opposite Al Hamra. They do pleasure flights and seem really busy as there are 2 seater planes buzzing around all day.
http://www.jac-uae.net/training.html
Try the Out & About Dubai facebook page, I know their presenter Punam did a segment recently on joyflights, I think it was in RAK but it looked really fun!
There's also a flying school (well there used to be might have to check it) in UAQ...