I don't quite understand what you're saying ...
If you don't have Charles of Anjou take Sicily, you have a big impact on the ability of the Byzantine Empire to survive because it isn't forced to deal with that as a major threat.
Theodore II might be preferable as Emperor to Michael VIII - assuming Theodore is able to rule instead of almost crippled by epilepsy as in OTL.
There are other things that could play a role here, too. Those are just the easiest examples.
Different politically? Culturally?I'm worried about how different Europe will be without the Ottoman Empire ...
I'm not sure the absence of the Ottomans changes Europe so completely as to be an alien world. Some impact certainly, but England is not going to change much. France might somewhat. Spain and Austria much more so, but then, with a POD this early, the rise of the Habsburgs may never happen, which is going to be a big change with or without the Ottomans.