No ASBs allowed.
The PoD must be before 1880.
As I understand, this does not have to happen at once.
1st step, In the mid-XVIII Karl Peter Ulrich,
Duke of Holstein-Gottorp, inherits
both crowns he entitled to, Russian and Swedish. In a view of the potential opportunities (and in a fear of Russian invasion) Swedish Riksdag (in which pro-Russian party is quite strong) waives Lutheranism requirement for a King of Sweden with a provision that the Lutheran Church remains dominant on the Swedish territories and that lands of the Swedish crown (Sweden and Finland) to be ruled by a vice-roy who is a Lutheran. The "wrong" things on a map are (a) Grand Duchy status for Sweden (it remains a kingdom) on a map (and Finland as a separate entity, well, over the time it may get a Grand Duchy status within Sweden) and (b) status of the Southern Sweden (by the time of the Russian-Swedish union it was in Swedish hands).
In 1706 England and Scotland are
NOT signing Treaty of the Union remaining formally separate kingdoms ruled (for a while) by the same monarch. In 1745 the Jacobites are successful in Scotland (and are staying in Scotland) and, with the French help, are managing to keep it separate from England.
During the French Revolution (in 1796), there is an anti-English uprising in Ireland helped by the French invasion army 15,000 strong led by Louis Lazare Hoche, one of the best generals of the French Revolution. The English government could not sent an adequate military force to Ireland out of fear of a potential invasion from Scotland. The English troops evacuated the island and Ireland declared its independence. Failed colonial activities in India and a need to maintain a secure border with Scotland and Western coast protected against potential invasion from Ireland, limit English ability to interfere into the continental affairs after a costly failure of the English-Russian landing in the Netherlands in 1797 and unsuccessful attack on the French fleet at Abukir in 1799. The European peace was achieved in 1802 with French Republic retaining border on the Rhine (including Belgium), the Netherlands being returned to the House of Orange and ante-bellum borders restored in Italy with the exception of Savoy, which went to the French Republic. As a "consolation prize" England was allowed to keep Malta. Gibraltar went back to Spain.
Not directly related to the map:
Eventually, losses from the diseases and French defeats in Italy and Germany forced general Bonaparte to evacuate Egypt but, while he was acquitted from the charges of disobeying the orders, he had to resign from a military service; with a considerable capital accumulated during the Italian Campaign he dedicated his energy to the military inventions making himself quite famous as an inventor of the "Napoleon's naval bombing gun" (adopted by the French Navy in 1801; proved to be an effective "equalizer" of the English numeric superiority at the seas) and of "Napoleon's 12-pounder howitzer" adopted by the French army in 1803 as the main field gun. However, his "crown jewel" was a field kitchen (see below various models produced by "Bonaparte Manufacturing"; the 1st one dated by 1800) - invention that truly revolutionized the whole military food supply system and seriously decreased "traditional" food-related losses. Unfortunately, he died from cancer in 1804, only a day after he was made a Senator by President of the French Republic, Jean Baptist Bernadotte.
In the mid-XIX Italy with the French help managed to unite against the Austrian opposition. Its border with Austria was settled as a result of the Independence Wars.
In 1848 Russian Empire officially transferred all titular rights to Schleswig-Holstein (which the Russian emperors held since the time of Peter III) to the House of Hohenzollern.
In 1864 during the 2nd Schlezwig War Prussian army successfully occupied the whole Denmark. King of Denmark fled to Norway.
In 1870 united Germany defeated coalition of France and the Netherlands. Belgium (part of France) and the Netherlands had been absorbed into a newly-created German Empire and independent status of Lorraine (annexed in 1776) had been restored. Prussian-occupied Denmark was officially made a part of the German Empire.
War of 1877/78 in which Russia and Austria fought against the Ottoman Empire resulted in Austrian annexation of some of the Ottoman territories (Serbia, part of Walachia, etc.) while Russia annexed Moldavia and created a vassal state of Greater Bulgaria.