During World Wars I and II, many countries managed to stay neutral, like Spain and Switzerland. Was there any major country (e.g. not a city-state or a micronation) that did the same during the Napoleonic Wars?
I just performed some Google search that gave me the map of Europe during Napoleonic wars.
Here goes the reproduction from Wikipedia:
See the image in other resolutions here: Europe 1812 map en.png
So, in Europe, in 1812, there were the following countries:
I think doing just simple googling would help.
Please remember that Napoleonic Wars was not one war and countries (except Great Britain) did not fight in each of them.
No major European country stayed neutral (for the whole time of Napoleonic wars).
Source: http://books.google.com/books?id=cG6JC_E1Rf8C&pg=PA269 combined with http://books.google.pl/books?id=h_TguykH1qcC&pg=PA8 to rule out Kingdom of Sardinia; combined with http://books.google.pl/books?id=QjzYdCxumFcC&pg=PA223 for Ottoman Empire.
Update: Ottoman Empire was in a war with France until 1802.