Okay, sum1.
And yes, we know it's "football." "Soccer" is just an abbreviation for "association football."
Association football > Assoc. football > Soc. football > Soccer. Gradual abbreviation.
And the only reason we call NFL Gridiron Football by the name "football" is because we started adding kicks, punts, and field goals to our version of rugby, which is why it started being called "rugby football," and then eventually just football.