So in that list you have three large countries that are famously not part of the general european political bloc, noted for usually being part of their own bloc. Then you have a bunch of countries that are so miniscule, that diplomatic relations are handled for them by diplomats assigned for other countries (Monaco? A couple of square kilometers. San Marino? Fewer people than my suburb). Then there's Turkey, which has a technical foothold on the continent, but has never been considered politically part of Europe. Then the Balkan states, most of which are trying to get into the EU (as is Turkey, to be fair). You're left with Norway and Switzerland, neither of which are in the EU, so there's some support there, but they do have strong bilateral links with the EU, such as with the Schengen Area.

I mean, you're so desperate to find counter-examples, you've even included an island nation (Iceland) that is nowhere near Europe, especially given your own definition that 'Europe' is specifically a continent. Iceland isn't even on the European continental shelf.

It's clear that there are multiple values for the term 'Europe', and that the socio-political one is a bit different to the is-it-on-a-connected-landmass one. Otherwise Ireland and the UK would not be part of Europe...