So lets put up a couple of examples (hypothetical ones, you understand).
How about, San Fransisco to Lusaka for one option and Perth to Tokyo for another. Either singles or returns.
I'm not starting some sort of quiz here, just wondering if all of you who are struggling to find a fare that you're happy with, can come up with your best price. You will see that all destinations are 1000's of miles away from Europe and probably (I say probably) won't involve - in your planning, a European airline or airport.
Post your best prices and I might (just might - no guarantee) be able to show you how to do it cheaper, if you're prepared to change en-route.
After all - we're all travellers, aint we? A direct flight is never as interesting as one that involves a change - anyway.