Man, I have so many of these; I've got a list of roughly 60 PoD ideas starting in ancient Athens, but I only start to get rough TLs from them starting in the late 18th Century...
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PoD: Benedict Arnold sulks at Saratoga
Results: The battle, and subsequently the war, is lost by the Americans. Includes: France sticking up for Poland in 1791, leading to a alternate Continental War; a more divided India, including sovereign states; the Atlantic Slave Trade lasting into the 1830's, and slavery lasting well into the 20th Centuries in much (more) of the world; an Empire in Mexico headed by a Bourbon, that includes most of North America west of the Mississippi; the Holy Roman Empire not only surviving, but binding together, helped by Prussia's loss in the Polish Wars and an independent Hungary; and the definition of "republicanism", in places like the Republic of [South] Africa, evolving to develop an authoritarian ring.
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PoD: Northwest Ordinance bans slavery in "territories acquired in the next five years"; Hamilton puts off introducing his "British Plan" at the Philadelphia Convention
Results: First part means when Tennessee is brought in as a territory (as OTL), the Yazoo Lands are as well (earlier than OTL), and Kentucky votes to prohibit slavery in its constitution -- all that means that slavery soon becomes restricted to the southeastern seaboard. Meanwhile, the Convention discusses and rejects the Slave Trade Clause, leaving the issue of the trade untouched. This TL sees President Adams outlawing the Atlantic slave trade in America; a later Cotton Gin (1808); black heroes in the War of 1812; an earlier War with Mexico, and a free Texas; and a Carolina War in the 1840's that ends with the abolition of slavery in the United States. Oh, and TTL is an Ameriwank, with annexations in Nicaragua (and possibly Cuba).
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PoD: The French Royal Family escape to the Austrian Netherlands
Results: The National Constituent Assembly votes that Louis, his son, and brothers have "vacated" the throne; after debating a Republican measure, Louis Phillipe [II] is offered the throne, and accepts. Oh, and without the Champ de Mars Massacre, LaFayette remains popular, and goes on to be an important part of French politics, serving as PM on several occasions. The TL also sees a limited war with Austria; surviving "bastard laws" in France, picking up elsewhere; a French Haiti that provides citizenship for the Gens du Color; Thomas Jefferson elected US President in 1796; a less influential Edmund Burke; and more.
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PoD: Napoleon decides against sending a military expedition to Haiti in 1801
Results: Big picture, Napoleon makes a better go at preserving the Peace of Amiens, which survives until circa 1809. Meanwhile, Touissant agrees to increasing the "imperial share" of his island's revenue, and the decade sees much naval and military buildup in French America. All this leads up to a Napoleonic War that pits the US against the French Empire, including Native Nations flocking to the French banner, and slave uprisings across the young republic. Oh, and the French also invade Mexico around this time.
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PoD: Madison Administration gets Congress to hold off on declaring War against Britain for a few months
Results: In the interim, word reaches of the end of naval impressment, thus averting the War of 1812. Much US military buildup follows, and William Crawford is elected President in 1816. All leads to US declaring war with Spain (over Florida, and other things) in 1818. Also sees earlier Mexican independence and better US relations with Latin America.
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PoD: John Q Adams takes umbrage when a friend of Clay approaches for a political deal in 1825.
Results: Following their nominee's stroke, Crawford's supporters turn to Andrew Jackson, who is confirmed by the House. His Presidency is more troubled than OTL, seeing little popular backing for banking policies and killing his VP Calhoun in a duel during a nullification controversy. He is defeated in 1828 by Henry Clay. TL sees an enacted American Plan; Cherokees getting (albeit reluctant and belated) Federal protection; Presidents Lewis Cass and John Fremont; Speaker and VP Abraham Lincoln; an earlier Westward expansion and Civil War; and more.
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I'll have to add more sometime later...