The name EU is not wrong in my view the main issue is that they try to govern everything while it is not working. Getting large companies from the uk for example is a ''game'' on high levels between the Netherlands, France, Germany and The Uk with taxdeals for example to lure them in. One of the objectives was to minimize this clearly this has failed and i don't thing they will ever succeed. So then you have two directions you can go a ''ever closer wording union'' largely what we have now seemingly to big to fail. The banks came crashing down in 2008 from that illusion i hope the eu has a softer landing.
The second is only the absolute necessary, so you might create a shengen like construction, with thing that come with that like ehic, european police forces working together etc. but you don't need an enormous Eu Parliament and so on, it will mainly stay like every country on it's own with some benefits for being in an international alliance. if you look at the business sector you see lots of those kind of example's with very close knit alliances which are very close to a full takeover or with alliance that are very simple and arrange basic formalities and that's it. Most Airlines are in a alliance of some sort for example.
Examples? I'll wait.
Also, airlines are in code share agreements (One World, Star Alliance to name the big two) purely to expand their routes and make it easier for passengers. This has zip to do with the EU. Poor example (among many you've used) so try again using, dare I say it, facts.