It is still hard to say who was best. You will see Erich Hartmann as the top notch with 352 kills (in over 1400 missions without ever losing a wingman!). The scored 345 against eastern (mainly Russian) and 7 against western opponents - but contrary to some public opinion the Russian fighters were quite good when Hartmann scored his first kill (late in war) - so his achievement wasn't easy to get for sure.
On the other hand Hans-Joachim Marseille (17 kills on 1 day) was the best German pilot against western allies (158 kills... and apparently never shot down at all).
Emil Lang got 18 kills on 1 day, Erich Rudorffer got 13 kills in 17 minutes and the best Austrian pilot Walter Nowotny got 250 kills in less than 500 missions.
So, who was the top ace of all times? Well... me personally... I don't know.
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I imagine there was more than one, but the most famous was the highest scoring American Ace, Edward Vernon Rickenbacker, of Columbus. "Captain Eddie" was later awarded the Medal of Honor, started Pan Am Airlines, and had participated twice in the Indianapolis 500 automobile race before the war.
Baron Manfred Freiherr von Richthofen, also known as "the Red Baron", was credited with 80 enemy aircraft destroyed. He died in combat on 21 April 1918. He was the highest scoring ace of all fighter pilots of WW1.
Richard Ira "Dick" Bong (September 24, 1920 – August 6, 1945) is the United States' highest-scoring air ace, having shot down at least 40 Japanese aircraft. He flew a Lockheed P-38. That was in World War 2 ---not WW1.
The plane flown by flying ace Billy Bishop in World War 1 was the Nieuport 17 and S.E.5a's also known as "The Lone Walk". He was awarded the Distinguished Flying Cross for scoring 25 kills in 12 days as a leader of the "Flying Foxes".
Possibly "Butch" O'Hare while flying a Wildcat in the Pacific, later KIA there. Chicago's International O'Hare Airport is named after him.