In Bonaparte-4 in the GURPS Infinite Worlds background, Napoleon invades Ireland instead of Egypt in 1798. Burr wins election in 1800 and invades British Canada when France invades England in 1802. By 1807 Nappy has taken Austria, Prussia and Russia and spends the next 20 years master of Europe. His son unites the French and Spanish crowns. The Portuguese king flees to Brazil. France and the US fight border wars over Louisians when France has outside rebellions in its global empire. The wars stalemate every time, but America takes Florida, Oregon and Cuba after them. Meanwhile, Japan invades China in 1894 and defeats Russia in 1905. A global war between the French Empire and Russia, Japan, The United States and Brazil began in 1937 and ended in a 1942 armistice when both sides invented nukes. Now it is 2024, the French Empire is a globe-spanning banana republic, ossifying and constantly drained by rebellions in Latin America, Africa and India. The secret police is in bed with the Union Corse (and what is the Union Corse, btw?), the computer networks link to nothing but posturing student movements and government propaganda, and the maglev trains are always late. On the other hand, the Empire has an overwhelming military advantage and, with its Ottoman allies, a hold on the world's petroleum.
I think that this is my favorite TL described in detail in the book. It does not have the ASB elements most of the worlds have (except that the Centrum TL has begun infiltrating it) and I have always been a fan of Nappy. But how plausible is the PoD? Could Napoleon have successfully invaded Ireland (even with a fog helping him...after all weather often DOES influence history)? And if he did, could that have butterfied into the world described above?