I also noticed you did not include (and this was an official US flag) the 15 striped flag used in 1795, reffered to as the "Stars and Stripes" flag. Although eventually they decided to only change the number of stars rather than the stars and stripes, it was still an important and very much real American flag. And you say you have all of them.
It is known as the Betsy Ross flag due to legend, whether it is true or not.
The 13 star, 13 stripe flag does not refer to the Betsy Ross flag, but the staggered pattern the animation starts with.
Lastly, it does include the Star Spangled banner. It's right after the 13 star flag. Watch as the stripes change (split)
