Emirates, Etihad, FlyDubai and likely Air Arabia cancelled all flights to Bagdad. Emirates continues flights to other destinations in Iraq. I know of at least one incident in Erbil in 2014.
Flydubai flight shot at in Baghdad; Emirates, Etihad suspend services - Emirates 24/7
This is a photo taken from inside the aircraft showing a bullet hole.
https://pbs.twimg.com/media/B8TwYpvIAAAwRVV.jpg:large
Several shots were fired as the plane was landing, ~4 bullets hit the plane, injuries appear to be minor.