Did my JAA CPL in the USA.
Also did part of my JAA IR training there; the school I trained at had UK CAA Approval to do the first 30 hours in the USA then the remaining 20 in the UK.
First time, first series passes in both.
Never had a problem getting invited for airline interviews.
I would recommend training at a school with JAA flight instructors though, rather than the ones which use FAA instructors. Seems to make a huge difference in approach and attitude etc, the FAA instructors just didn't seem to have an interest in it; and therefore didn't train to nearly the same standard.
Good luck.