I love it when peeps make it look like a vote when it's not :-D
OP asked for recommendations on specific manufacturers
for shipping in Europe and Middle East, not a popularity contest. JLC PCB and PCBWay were suggested in the first reply. This is not a contest, folks, so leave your opinions aside and share your experience only if you have something new that hasn't been yet said,
keeping in mind OP's requirements in mind.
Anything else important I should consider?
At this point you should have enough matter to make an educated decision on what to pick.
Since you've mentioned through hole parts, the cost of assembling the PCB may be excessively high so it is safe to assume you're the one doing the soldering job. We don't know what is important to you though, the final decision is up to you. Your context appears as a very generic one, so whatever manufacturer is a candidate as either of them (at least from the information you shared) is up to the task -- as for manufacturing the PCB only, of course.
Also note that most of these (if not all, I haven't verified) PCB manufacturers ship at least 10 boards, so if you're off for only one, that may be a lot of waste. The minimum quantity at Aisler is three and Eurocircuits' is one.