My 53rd EUIV run: Morocco.
It was very similar to my Granada -> Andalusia run, since the 1st war involved destroying Tlemcen, allying Tunisia and the Ottomans and then fighting some very tough wars with Portugal and Castile. No wonder, because now England actually knows how to transport its troops and fight with you, instead of just comfortably sitting in their islands. I had to retry my 1st war with Portugal multiple times until I could finally defeat them. They were obviously allied with England and Castile, while I only had Tunisia as the only ally. I managed to win by sieging Sebtah and tricking the Castilian armies to attack me over the straits and once they were defeated, I blocked their path with my fleet and they got stack wiped. It didn't get much easier once I crossed my army over to Iberia, England had sent its forces, even though it was losing a war against France, it still choice to send all of its army to attack me. Eventually, I was able to make a peace with Castile that it breaks its treaties with Portugal and then occupied all of Portugal and made them break their treaties, as well.
After a while, Castile decided to attack my ally Granada, it was expectable, but not that Castile would be allied with France! So I reloaded my game and broke the alliance with Granada, since we had no chance to defeat them. To save the situation, I had to attack Portugal again and needed to make Castile break its treaties. Only then I could attack them directly. Yeah, in my 1st actual war with Castile, I took all of Granada, Sevilla, Cordoba and Gran Canaria.
Now that I had gained the Canaries, Madeira and the Azores, I could start colonising the New World. I started with the Caribbean, even though my mission tree suggested to start with Brazil. I couldn't afford to do that, because Portugal had already set up a colony in the Caribbean region. It wasn't a bad thing though, these intruders only accelerated my colonial growth as I took them by force. After I had finished growing a colonial nation there, I moved to Brazil and Colombia. By the end of the game I had the following colonial nations:
Qurtuba al-Jadida (Mexico)
Gharb al-Jadida (Florida)
Sala al-Jadida (the Caribbean)
Balansiyah al-Jadida (Colombia)
Garnatah al-Jadida (Brazil)
Marakish al-Jadida (Peru)
While America and Iberia were the main focuses, I also slowly expanded into West Africa and took over the salt trade.
I have had many runs in Europe and Africa lately, I have yet to play in Asia with the 1.34 update. I guess I'll try something there, most likely in India.
Colonial nations:
Qurtuba al-Jadida (Mexico)
Gharb al-Jadida (Florida)
Sala al-Jadida (the Caribbean)
Balansiyah al-Jadida (Colombia)
Garnatah al-Jadida (Brazil)
Marakish al-Jadida (Peru)
Vassals: Galicia, Mzab, Kanem Bornu, Oyo, Bonoman, Jolof.
Allies: Bohemia.
I was also allied to Italy, but I had to break the alliance to free up a diplo slot for Oyo.
Russia gained a PU over Scandinavia and later on integrated it.