If you notice Belgium only made it in the 1835 list for me. They industrialized quite quickly compared to the rest of the world, and that industrial power was certainly felt through out Western Europe in the early 19th century. As other nations industrialized Belgium became less and less important though because of their limited size. If I am correct the United States was still fairly agricultural society (like the rest of the world) in 1935, but it was not long after she began to industrialize at a very quick pace, although if you look at mine I did put her ahead of Belgium. The Ottoman Empire was definitely the hardest one to place on that list, and could arguably go up or down one or two spots on all of them. In 1935 the Habsburgs were still one of the most respected and powerful houses in all of Europe, and held sway over more than half of Central Europe. Prussia did not look overly intimidating until after her army reforms, and on a number of occasions was backed down by Austria. Her influence was limited by having a fairly consolidated Russia to her east, and Austria to her south.
By 1861 things had changed quite a bit. The Habsburgs where still considered number one in Germany, but this is only because no one had seen what the Prussian army was capable of. France was looking 10 times better than at the start. She had went from an unstable government surrounded by hostile nations to a prospering consolidated Empire with a royal family which looked like it might finally be able to bring her into a new era of prosperity. Napoleon had humiliated both Austria and Russia, and helped bring together Italy to check Habsburg Hegemony over Central Europe. USA too looks a whole lot better with a secure Northern Border and a defeated Mexico to the South, but internal dissension was running high and it was only a matter of time before things where going to fall apart. It could even be argued she should loose a spot because of how flagrantly European Powers ignored the Monroe Doctrine and attempted to set up their own Empires in North America, but I over looked that because of how easily she fixed the problem afterwards. Italy had just shaken off the Habsburgs and looked to have a bright future ahead of them, but the Papal problems and their limited amount of industrial power hampered their attempts to be more active or play a more powerful role while their internal problems made them all the more weak after the Sardinian Prime ministers death. Russia although expanding both industry and territory in this period was marked by dissension from disgruntled nationalities almost as badly as Austria. They had recently faced defeat by a coalition and their attempts to solve the "eastern question" seemed to be indefinitely forestalled.