There are many kinds of football, for example:
Association football
Rugby Union football
Rugby League football
Australian Rules football
Gaelic football
American football
Canadian football
The word "soccer" is an old British term for "asSOCiation football", however over time, people in the UK people began to use the term "soccer" less and less, replacing it gradually with the term "football". Strictly speaking though, the word "soccer" is the correct term for this sport - so the Americans have it right!