The real concern I have is that, personally I dislike the fly by wire system on the Airbus. I feel it takes too much direct control away from the pilot. For example, with the Airbus fly by wire system in normal law when you move the sidestick you are not actually commanding the flight control surfaces to deflect, you are commanding a change in load to the flight computer, and the computer figures out how to move the control surfaces. This differs from the approach of Boeing with their airplanes that utilize fly by wire where you still basically command the control surfaces to move directly through the yoke. It is possible to directly control the flight control surfaces of an Airbus in direct law, however that is the third level of redundancy built into the system and is designed to hopefully never be used (if it is, you're having a bad day).
Don't get me wrong, the Airbus a very nice airplane to fly most of the time. Very very easy. The thing has auto trim and all kinds of other helpful things. On a normal day these systems work fine, it's on a not normal day or not normal situation that I get concerned. I do not want a computer system sitting between what I want the airplane to do and what the airplane actually does especially when that computer system has the capacity to override the pilot. Boeing believes (correctly in my opinion) that the pilot should always have the final say, and as such can always override anything regarding the fly by wire. Airbus believes the opposite.
There are valid points made for and against the Airbus philosophy, you can see where I stand.
I don't like it when machines try to out think me. Same reason I will only ever own a car with a manual transmission.
Hope that answers your question.