Update:
King Jeremy of the Poles returned to Krakow a hero, with the battle-flags of the Romans, Eagle Standards like those of their ancestors, were thrown to the feet of his horses by the dozen. The wealth plundered from Constantinople, piled high on carts, some saying, most likely in hyperbole, 3 meters tall, was paraded through the city. Once the debts of the war were payed off, Jeremy donated the rest to the Church, and prepared to implement the second part of his plan for Polish domination of Europe, the invasion of the Massilian Republic.
But it was not to be. Jeremy, while hunting in the Carpathian mountains, as was his past-time, was mauled by a lion. The beasts had been a rising threat in the continent for centuries. Long considered extinct, new feral populations emerged along the upper Danube and Carpathians, escaped from the private menageries of Roman governors and amphitheater-owners who kept them for entertainment. Sometimes through the ineptitude of handlers, sometimes because, well, when a city's sacked, no one's watching the animals, lions got out. Though there were less than a thousand in all of Europe, Jeremy had the spectacularly rotten luck to run into one while on a toilet break.
With the end of the Tiberian rebellion in Anatolia, the Roman Empire settled into a post-war calm, excepting the purge of the upper classes by the new Inquisitorial agents. Islam and Ibrahmist Christianity were targeted by judges selected by Purist bishops, recently returned to power. Judaism, however, was not explicitely threatened. However, external military threats to the Empire were largely non-existent, as the Emirates on its borders had problems of their own to deal with.
In Egypt, the Abbasid line finally died out, and the new Caliph, an Ibrahmist Muslim, was more interested in finding a way to bring the long-troublesome Coptic Christians more firmly into his rule through conversion.
Persia's troubles were a lot more dramatic. The Seljuk hordes of the Khazar steppe overran their borders, sacking the wealthy trade routes to China and driving into Mesopotamia, conquering Armenia in the process. The Seljuk ranks, formed in large part of slaves taken as children and honed into elite cavalry troops, demolished the Persian ranks.
When a city was besieged, the Seljuks demonstrated an awesome terror weapon: the balloon. A great rope would be made, longer than the shortest axis of the city, and a balloon would be tied to the center. The balloon, powered by hot air and made of any suitably fire-resistant cloth, would float upward, as beasts of burder towed the entire assembly over the city. From at least a hundred meters above his target, the pilot of the balloon would drop explosives and liquid fire on the terrified citizens. This method of assault, more accurate than a catapult and easier to transport than a cannon, won many a fortified city for the Seljuks.
On the other side of the world, another horde grew by leaps and bounds. The Cheyenne horde, under a ruler known to later generations as Ma'heo'o Hetane. Ma'heo'o Hetane expanded the borders of his domain to the Mississippi and beyond, plundering wealthy Mississippian towns in the land known to its inhabitants as "Mis-oor." In the west, he conquered the gold and silver mines of the Rocky Mountains, and soon, his throne room, decorated by gold worked by expert smiths, and towed whole by two teams of horses, became the most lavish affair in the entirety of North America. The Mississippians, to whom horses were almost unknown (except for some in zoos in towns of the Lower Mississippi, where horses descended of Arabic breeds were displayed), were thrashed by the Cheyenne war-horses, which, clad in hardened leather armor, with riders carrying 5-meter long lances, shattered all who stood before them.
In Mesoamerica, the Kingdom of Tzin-Tzuntzan conquered the Mexica and Pur'hepecha peoples in the name of their god Acatl, who spoke to their King in a vision, where he proclaimed his disgust with human sacrifice, and the divine vision he had for the King, who was to rule the world in a way that would honor Acatl. In this meeting, where the King was in a trance, Acatl handed down a series of moral regulations, such as a ban on clothing when the weather was warm ("What Acatl has made, is beautiful, and to cover, an abomination"), a ban on human sacrifice ("For I, Acatl, have made you, and you are not to kill the innocent in My name"), and punishment for crimes. The Tzin-tzuntzan conquered much of the western part of Mexico, but the King dared not strike the powerful and wealthy Maya city states, just yet. Instead, they conquered the tribes of central Mexico.
The bush elephants released by African muslim traders hoping to reduce the cost of the ivory trade expanded quickly. Within decades of their release, elephants could be found browsing the jungles as far as the Amazon and Colombia.
The Massilian Republic obtained, through a treaty over trade rights, the Cordoban islands in the Mediterranean and Atlantic.