you do need to do European (JAR) training if you want to fly in Europe
There is also the (arguably much more interesting than airlines) corporate jet business, much of which is under FAA. Much more variety in that, and a lot less binge drinking with cabin crew stuck in hotels

You can tell I have just read Air Babylon
What are the age rules for an FAA PPL?
I ask this because I have a son who is 10 and is capable of flying (FS2004) anywhere in Europe using GPS, is getting into VOR/DME nav and ILS, and should be in a position to do a real PPL fairly early. This year I should have the CPL and could add a CFI to that and then I could train him. Alternatively I could train him anyway, and then he could go to the USA for a couple of weeks to get the logbook entries and the checkride (or even do it over here in the TB20...).