Simply use the Bing Maps REST Geocoding service for this. You can add an EntityType filter of Airport that will filter the results to only include airports. Here is an example geocode request: http://dev.virtualearth.net/REST/v1/Locations?query=[AiprotCode]EntityType=Airport&key=[BINGMAPSKEY]
You can find a good tutorial on how to use the geocoding service in a WinRT app here:
http://www.bing.com/blogs/Site_Blogs/b/maps/archive/2012/12/11/geocoding-and-routing-in-bing-maps-windows-store-apps-native.aspx
If you want to take this a step further you can also turn on venue maps to show the layout of the airports as well.
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