Meanings of fighter ace in English

First woman fighter ace in history, and she'd be declared a deserter instead of a hero.

And now she was a fighter ace.

One more and I'll be an ace. Maybe not the first woman fighter ace, or even the second.

I've decided that I'd give up being a fighter ace if it meant we could both get through the war alive.

Even though Microsoft's Fighter Ace has only been on retail shelves for two months, another World War II aerial-combat simulation was shown at Gamestock.