Yay! That's what I wanted to hear! (Though it'll be hard work for you, having to add those things now).
European football was played already in the Middle Ages, although obviously it wasn't the current version (and it was even banned in Scotland in 1349, as it distracted people from practising archery); in the 16th century, there was the Italian "Calcio Storico", and there is proof that, in the 17th century, football was already played as something similar to what it is today in England, and Eton codified football games in the year 1815. And, well, Rugby was invented in 1823, but it still might happen.
There might not be any baseball, but the game of rounders, on which baseball is based (and which I played once when I was in England), existed before the American Independence War, so there is still something there.
I think that bikes would already exist: the draisine (grandfather of current bicycles) was invented in 1817 - I doubt that a different outcome in the AIW would change that.
Athletics, it's pretty obvious that they would still exist, considering that the ancient Greeks practised them.
Jai alai (ah, a Spanish sport!) could be a minor sport played in the French Basque regions.
Petanc has several ancestors that were played much before the AIW (the medieval "boules" for example), so there you have other sport.
And I am sure that people around here could invent sports (Handball as it is nowadays was invented in Northern Europe, and basketball could be either invented in any of the American states or in Europe itself) that might become very popular and enter the Olympic Games.
Anybody else wants to collaborate and show that many OTL sports could have appeared in ABNW?