Did any major European country stay neutral during the Napoleonic Wars?

Question

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?

Answer 1

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:

1. Great Britain - fought
2. Portugal - fought
3. Spain - fought
4. Papal States - fought
5. Kingdom of Naples - fought
6. German States - if treated as a whole (Confederation of the Rhine), fought
7. Austria - fought
8. Denmark + Norway - fought
9. Switzerland - fought
10. Prussia - fought
11. Sweden - fought
12. Duchy of Warsaw - fought
13. Ottoman Empire - fought
14. Russia - fought
15. Holland - fought

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.

Answer 2

No major European country stayed neutral (for the whole time of Napoleonic wars).

The Ottoman Empire (partly placed in Europe, although not traditionally considered a European country) possibly comes closest. But it was by no means the boring Swiss-style neutrality, so I would review the Napoleon's Egyptian campaign, the Russo-Ottoman War of 1806-1812, and the 1807 British naval intervention to get the full story.

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.