For what it's worth, here are the unique .eu domains linked to on HN during the last two weeks, along with an example HN page:

europa.eu (the most often posted .eu domain) - https://news.ycombinator.com/item?id=18979027 . This is the "Official website of the European Union"

sifted.eu - https://news.ycombinator.com/item?id=18958342 . This is "The new media platform backed by the Financial Times".

juliareda.eu - https://news.ycombinator.com/item?id=18943510 . This is the site of a Member of the European Parliament from Germany, who is also a member of the Pirate Party Germany.

jsconf.eu - https://news.ycombinator.com/item?id=18912059 . "JSConf EU is the labour-of-love conference for the JavaScript community in Europe"

elixirconf.eu - https://news.ycombinator.com/item?id=18865236 . "ElixirConf EU is the premiere Elixir conference in Europe"

5gobservatory.eu - https://news.ycombinator.com/item?id=18980769 . This is an organization directed by the European Commission.

This was all done manually. Someone else might automate the task.

Just one example: GoDaddy bought the HostEurope group for €1.6B [1]. They own one of the largest domain-registers (and cloud providers) in the DACH region called Domainfactory. They reside on df.eu

[1] https://en.wikipedia.org/wiki/Host_Europe_Group

Couldn't think of one...