And here is the state of the world in 1581:
1) The Shawnee and Aztecs both look large enough to present a significant (but hardly insurmountable) challenge to European colonists. I predict we'll see a slower conquest of the Americas but that it will still eventually happen. Out of curiosity does EU3 have any way to represent disease, per chance? That might have an important effect on the Shawnee/Aztecs' ability to resist, although technology is probably just as important (and why I think they'll lose regardless).
2) The Manchus look like they want to become the next great Central Asian Empire (instead of say the next Chinese dynasty). I imagine they'll find Sibir and Byzantium better prepared to resist them than the Mongols found the Seljuks and Russians though.
The Cultural map of Europe, North Africa and Western Asia:
4) I'm surprised how little progress after two centuries (IIRC) the Danes have made on Iberia. It looks like the cultural affectations of the Iberians haven't changed remotely since the start of CK2. Well, except for the Basque in the east absorbing Catalonia and Aragon. My guess is that implies the Danes might have issues with staying power in the peninsula, although their economic and military power suggests otherwise.
5) On the other hand, Russian and Persian culture appear to be headed the way of the dodo. I wouldn't be surprised if they're completely absent from your next world update.
The Religious map of Europe, North Africa and Western Asia:
6) So Orthodox Christianity is the new Islam, Catholicism is the new (Russian) Orthodoxy, and Protestantism has been wildly successful in western and central Europe. And Islam is basically relegated to pockets in Central Asia, sub-Saharan Africa, and (not on the map) Indochina. Definitely different from OTL.
7) I wonder if Catholicism will be greatly affected by its move eastward. My guess is not, because the game engine probably isn't that sophisticated, but in 16th century terms there's a pretty big distance between Sibir (one of the more prominent Catholic nation-states) and Rome, so I could see the pope's power becoming greatly reduced and the Siberians heading towards
de facto clerical independence. But again, I doubt EU3 is sophisticated enough to represent that and in any case that kind of ended up happening anyway in the real world as a consequence of the Reformation.
8) An interesting question will be to see who ends up colonizing the New World, because that could heavily impact on which brand of Christianity (and it's almost certainly going to be a Christian power) ends up pulling ahead. If it's Norway or England (which are both pretty likely) we could see Protestantism confined to Europe (which would be interesting). But if Navarre ends up colonizing the New World (or perhaps one of the French states) then Catholicism could become even further relegated to Eastern Europe and Central Asia.
I have lost track of the HRE's state. Can you give an update on that?
It's probably
very messy at this point. And completely non-contiguous. I'd imagine that with the scattered nature of Central Europe and the odd geography Eastern Europe is assuming that the Holy Roman Empire is even
less holy, Roman, or imperial at this point than it was in OTL. Most of what
would be our HRE is controlled by Frankfurt and the Imperial throne is held (for now anyway) by Sibir. At this point it seems like the Empire exists only in theory.