I came across an interesting article on FiveThirtyEight regarding how touristy particular countries are. While the scope is much beyond Europe there are a number of European nations on the list. It should come as no surprise that Spain, France, and Netherlands top the list of the large, developed countries. Of course, the very tiny nations (Vatican, Monaco, Andorra, etc) skew the results when you include them, but it's still an interesting look at how many tourists there are in particular countries.
http://fivethirtyeight.com/features/the-countries-where-youre-surrounded-by-tourists/