I have created a simple map of the world for your Europe map, complete with a stronger Korea, a surviving Mughal Empire, and French Canada!
Also, I am officially subscribed to this thread. I really enjoy map challenges.
But here are a few things that I changed in your Europe map:
Also, I diverged greatly from your map of North America. I kept French Quebec, secessionist New England (which I assigned a new color), and Russian Alaska, but I made a larger United States, much fewer British possessions in the Caribbean, and made a much larger Mexico.
This leads me to my framework of this TL. An alternate French revolution leads to a Republican France attempting to do what Napoleon did - though only getting to Germany, and focusing much of their energy on Britain. They manage to topple the HRE but post-war it is replaced by a German League. After this war (which ends in 1803), P-L is somewhat restored, but Prussia buys Courland from Lithuania. France is not totally defeated, and a liberal monarchy is established. The French keep Canada.
When Mexico gains independence in the 1830's, it is not threatened by a powerful United States, and thus becomes more powerful. The Mexicans have their own feeling of manifest destiny and aim to unite all Spanish-speaking American nations (also you can see a few Mexican colonies in the Pacific
).
In the 1830's, a huge wave of revolutions sweep across Europe that overlap with a Russo-Turkish War. Distracted by revolutions in Hanover, the British do not intervene in this. Russia, who captured Constantinople, is a decisive victor, Greece and recently unified Romania become independent, Hungary breaks away from Austria, and Naples goes on a war of conquest in Italy. The Austrian, French, and Savoy armies join in a coalition to stop Naples but they fail to capture Rome. An independent Kingdom of Modena is created from the surviving duchies to act as a buffer state, Austria annexes its acquisitions of Venice (who sided with Naples), and France gives Corsica to Savoy as a reward for support (much the way Sardinia awarded France with Savoy and Nice IOTL).
The effect in Germany - Prussia and Austria still go to war, but it ends a little more complicated. Prussia creates its own German League, free from Austria. Bavaria, a staunch supporter of Austria, opts out of the organization along with Saxony, with whom they create a personal union later in the 1890's. In the 1850's, Prussia and France go to war over Belgium and Luxembourg. France still loses, and Prussia takes the German-speaking area of Lorraine. Prussian leaders oppose German unification and instead centralize the German League, instead making it sort of a "puppet state" - preferred by Britain since they wish to not have secessionist feelings in that kingdom.
Japan opens up early, and instead of colonizing Korea, they focus on the Pacific. There still is a Sino-Japanese war but Japan forges an alliance with Korea instead, promising unconditional support and independence.
That's all I have so far.

Also, I am officially subscribed to this thread. I really enjoy map challenges.
But here are a few things that I changed in your Europe map:
- Unification of the small Italian States except for Venetia
- Skaneland is Swedish
- Romania is more "round-ish"
Also, I diverged greatly from your map of North America. I kept French Quebec, secessionist New England (which I assigned a new color), and Russian Alaska, but I made a larger United States, much fewer British possessions in the Caribbean, and made a much larger Mexico.
This leads me to my framework of this TL. An alternate French revolution leads to a Republican France attempting to do what Napoleon did - though only getting to Germany, and focusing much of their energy on Britain. They manage to topple the HRE but post-war it is replaced by a German League. After this war (which ends in 1803), P-L is somewhat restored, but Prussia buys Courland from Lithuania. France is not totally defeated, and a liberal monarchy is established. The French keep Canada.
When Mexico gains independence in the 1830's, it is not threatened by a powerful United States, and thus becomes more powerful. The Mexicans have their own feeling of manifest destiny and aim to unite all Spanish-speaking American nations (also you can see a few Mexican colonies in the Pacific
In the 1830's, a huge wave of revolutions sweep across Europe that overlap with a Russo-Turkish War. Distracted by revolutions in Hanover, the British do not intervene in this. Russia, who captured Constantinople, is a decisive victor, Greece and recently unified Romania become independent, Hungary breaks away from Austria, and Naples goes on a war of conquest in Italy. The Austrian, French, and Savoy armies join in a coalition to stop Naples but they fail to capture Rome. An independent Kingdom of Modena is created from the surviving duchies to act as a buffer state, Austria annexes its acquisitions of Venice (who sided with Naples), and France gives Corsica to Savoy as a reward for support (much the way Sardinia awarded France with Savoy and Nice IOTL).
The effect in Germany - Prussia and Austria still go to war, but it ends a little more complicated. Prussia creates its own German League, free from Austria. Bavaria, a staunch supporter of Austria, opts out of the organization along with Saxony, with whom they create a personal union later in the 1890's. In the 1850's, Prussia and France go to war over Belgium and Luxembourg. France still loses, and Prussia takes the German-speaking area of Lorraine. Prussian leaders oppose German unification and instead centralize the German League, instead making it sort of a "puppet state" - preferred by Britain since they wish to not have secessionist feelings in that kingdom.
Japan opens up early, and instead of colonizing Korea, they focus on the Pacific. There still is a Sino-Japanese war but Japan forges an alliance with Korea instead, promising unconditional support and independence.
That's all I have so far.

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