Here's what you really should have at a minium in a flight stick for AH.
A hat switch (for views)
A throttle control axis
A rudder contorl axis (many sticks "twist" in lieu of having flight pedals)
8 buttons
You can find a stick with all this for under $30 at most discount stores (made by
Saitek )
If you follow the Saitek link you'll see there are a number of price range/options depending on how much you want to spend. Their contollers are good for thier price, though not as durable as top of the line controllers.
The top of the line, and widely regarded as the best flight controllers are by
CH Products. They are great, but not cheap. I use CH Fighterstick, Pro Throttle, Pro Rudder.
Stay away from logitech sticks. They do not make very reliable flight controllers.