First thing I would try is installing the version of DirectX that is on the Air Conflicts CD. If you insert the CD a panel should appear, click the Install DirectX button and follow the on-screen instructions.
If that fails there is an update which sometimes solves this sort of issue for some video cards. Just click on the link below to download a zip file (it's under 200 KB).
http://www.contactsales.co.uk/downloads/AirConflictsUpdate1_43.zip Download the zip file to your computer. Open the zip file and run the program, follow the instructions to complete the update. Try running Air Conflicts again.
Usually answered in minutes!