Yes, China Air and Air China are both up there.
With the way the Airbus flight control logic and laws work, it is quite easy to get the aircraft into a divergent stability type situation by trying to override the protections for stall/overspeed that are built in, with manual control inputs.
When you have a definite overspeed situation, the recommended procedure is to select a lower commanded airspeed and allow the autothrust to reduce the power. However, if you go into a large overspeed the autopilot will disconnect. With the aural warning for the overspeed warning going off, the autopilot disconnect aural warning can be missed. Even though the autopilot has disconnected, the built in high speed protection will command a nose up pitch to try and reduce the airspeed. Once the airspeed has recovered below maximum, the flight controls will go out of protection mode and back to normal. However, if you are not aware that the autopliot has disconnected, then you can get into trouble. Also, if in the heat of the moment, with warnings going off, you disconnect the autothrust and bring the power back to idle, you now have the engines at idle and airspeed can bleed off quickly. So you can see how a mishandled overspeed can quickly turn into a bad situation. A few months back, the domestic branch of the company I work for had a mishandled overspeed due to clear air turbulence in the cruise. The autopilot and autothrust selected off, and it didn't take long before the pilot flying got the aircraft into an upset situation and they lost altitude as well as hurting some passengers and crew in the cabin. Luckily they recovered and landed safely. But it just shows how easily things can turn into a real can of worms in an Airbus.
Now, everything I wrote above is predicated on the air data that is being displayed is accurate. If you start throwing corrupted air data into the equation, things are a different situation. In the case where air data is corrupted and not recognised by the computer systems, the faulty data will be displayed on the cockpit instruments. This is where pilots must rely on their basic flying skills to first control the aircraft, and then identify the faulty source and take corrective action. If this event occured in the middle of the night, in a storm, and you have all sorts of warnings going off, it can be a very distracting environment, making a hard job even more difficult.
From what I have read so far about the AF crash, the aircraft was intact when it hit the water. I'm not sure on it's flight path on impact, but again I have heard that they almost pancaked onto the water. This may indicate they were close to recovering, but ran out of altitude. Again, this is just rumour and speculation, we won't know for sure until the full investigation is released.