Also known as "kills," aerial victory credits are the tally of confirmed planes shot down in battle. An ace is a pilot with 5 kills to their name.

Every service maintains their own list of aerial victory credits.

US Air Force
http://www.au.af.mil/au/afhra/wwwroot/aerial_victory_credits/avc_index.html
US Navy
 
US Marine Corps
 
US Army
Army pilot credits prior to the formation of the US Air Force will be found at the Air Force Historical Research Agency link, above.
Royal Air Force
 

As I find authoritative sources for these, I'll add them in.

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