Jazz is a blues derivative that was developed in the US. Music, however, is not an invention of the US.
That's an Aztec, and South American, sport. It's older than Christianity.
The US judicial system is a facsimile of the UK.
Every culture has a bat and ball game, but baseball is an adapted game of 'rounders' which is European in origin.
Invented at Rugby school, England. Americans just changed the rules slightly and wore padding & helmets.
Yes, well. Each country invents musical genres, it's not really a standalone development.