I think a lot of what people said here is great and Im going to be, perhaps, a little bit repetitive. And I think the standards here will be quite high.
1) Integrity: For real, integrity also involves authenticity, not lying and deceiving, keeping true to your own promises. This includes being ethical, but do not necessarily includes moral. Moralism with no integrity is BS. And this eliminates like 70-80% of politicians around the world and 90-95% of Brazilian ones.
2) Good at critical thinking: Having an ability to distinguish, do triage of information, surpass eventual manipulations, misreadings and misinformation. And many critical thinking traits, you can google about it. Not only have a good critical thinking, but use it widely, one of the reasons I hardly trust anyone too religious, they turn critical thinking off for religious subjects. Good critical thinking avoids the person of being completely blind about ideology or do the annoying bad intentioned fruitpickings.
3) Intelligence: As several mentioned, doesnt need to be Albert Einstein, but at least be in the first 20-30% top world and top country IQ is not too much to ask.
4) "Good-will": Someone, as [MENTION=8485]tinker683[/MENTION] indirectly mentioned, actually really cares and really cares about a little of everything in the country (and using critical thinking and intelligence to know what to prioritize and when). Carelessness perhaps is welcome for military, highly introverted people and perhaps people on a bad situation, but in no way for a president in any place.
4.1) Includes some empathy as well, a minimal decent empathy, but not way too much empathy, because excessive empathy can be a pain.
5) Diplomacy and personal choosing: As someone mentioned in the thread, being good at picking who works with you, the sub-president, ministers, etc... is important and being reasonable at negotiating, but not way too much good at diplomacy to the point of using manipulation or compromising any of the points I had said above.
I may miss a point or two, but thats in general. Anyway, in overall, Im asking quite much, I know.