As for the other Protestant Countries in the game, the Dutch, Swedes, and Danes, I'm not sure how their Protestant organizations are structured, or what their titles would be. I'm assuming an Archbishop of a major city/town?
I don't know about the Dutch, but the others aren't much unlike the description of the English.
After a bit of digging I learned that Sweden has an Archbishop in Uppsala while Denmark has none. This mean the church is ruled by "a council" consisting of the 12 bishops, though it would appear that the bishop of Copenhagen has more to say than the average bishop.
Norway, Sweden and Denmark converted protestantism in 1536. In other words that's most of the RaR timeframe.
The Norwegian church is like the Danish without an archbishop, but with a bishop in Trondheim, who appears to have more power.
Now why do I mention Norway? Because Norway was part of Denmark until the Vienna convention (1815 or something like that). It happened like this.
In 1801 England intercepted a letter from the Danish king to Napoleon. In this letter the king stated that he wish for Napoleon to win the ongoing war and that to aid him Denmark would give the entire navy to France as a gift. England responded by attacking Denmark and sink the fleet.
In 1807 the English returned to smash everything again (no aid for France) and here they ignored the defenses surrendering. When they ran out of military targets they started firing at the city itself (Copenhagen). This bombardment was also the first one where England used the newly invented rockets.
At the Vienna convention after the war, Sweden proposed that Denmark should be punished for aiding France and that Norway should be independent. This was accepted and shortly after that Sweden and Norway joined together. Sweden calls it a union and Norway calls it occupation. The truth is likely that it was a union, though Norway was dragged into it like a shotgun wedding. Norway became independent after around 100 years, though Sweden kept quite a bit, including the good farmland. For some reason the Norwegians are way more aware of this time period than the Swedes.
The letter, which started all this. It's preserved (I think it's stored in London). Historians today agree that it's fake. It didn't originate from Denmark meaning the reason for England attacking is invalid and so is the reason for splitting out Norway. It kind of make sense that it's fake. Just think about the content. Denmark a small neutral country with nothing but coastlines decides not to have a navy anymore and at the same time give up their neutrality in an ongoing war between the world's superpowers.
The admiral, who commanded the attack on Denmark was Lord Nelson. Somehow I don't think his statue at Trafalgar Square says "The admiral who ordered the first bombardment of civilians in history". I kind of suspect the British have forgotten that part about him.
Wow that ended up being a bit long. Either way I answered the question about the Scandinavian churches.