Here's an idea: a map of countries overlaid with membership in the various "EU" groups (i.e. including EC, EEA etc), membership in UEFA, membership in the EBU and participation in the Eurovision Song Contest (per year). That should answer the question of Europeanness of individual countries once and for all.
I found this image[1] that shows the overlap of Council of Europe, European Free Trade Association, European Economic Area, European Union, Euro Zone, EU customs Union, Schengen Area. Unfortunately my source is a tweet that didn't mention original source.