Okay, I now have my all neutral / friendly state too. Seeing this isn't deemed such a hot property any more, I'll refrain from posting a screenshot or a save game, but it's available if anyone needs it. I just won't nominate myself for the special achievements award.
I have 172 bases visited (actually landed upon, so all the details are available when for example looking for commodity prices), which is all as far as I know, except if there are any bases after the unknown (nomad) jump gates, which I've yet to explore fully.
I've got to say it was by no means easy, so Zyrxil should be damned pleased to have gotten it so easily. I have the Zoners friendly too, being friendly with Junkers would outrage a lot in my game though.
My simple example: I wanted to get the Bounty Hunters back from barely hostile to just neutral. I then looked for pirate factions where I could afford a little bit of hatred. The Bundschuch was my first choice. A bad one, as it turned out - killing them outraged the Red Hessians.
After reloading, I went after the Liberty Rogues. Interestingly enough, it seems the Unioners (a Rheinland faction) are allies of the Liberty Rogues. They raced to their help and my alignment with the Unioners dropped even though I only fired upon the Rogues.
In another interesting twist, while killing the Rogues seemingly didn't matter to the Bretonia Mollies, losing my friendliness towards the Unioners made the Mollies hostile. Sigh.
On to some missions for the Unioners, getting some shipping companies and the Liberty Navy to like me less. Mollys back to neutral, Bounty Hunters back to hostile. Double sigh.
I have then finally got the right idea and went after the Xenos. The Bounty Hunters were pleased and no one else seemed to bother at all. Even the Xenos themselves didn't get too pissed off. Poor fellas. Just a bit later I noticed an interesting battle going on (all the while I was just observing as neutral) - Xenos killing Xenos. At least there were no ships other than Xenos around, and they were firing wildly, certainly not at me, but at each other.
So, when they say the Xenos hate just about everyone, they mean it.
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Anyway, I'm at a point in the game where I do enjoy having no hostiles and wouldn't want it any other way. I do not find it fun any more to have silly little ships attacking me and bother with them. They can hardly make an impression on my shields, yet they would still slow me down greatly by killing my cruise engines if I didn't bother taking them out.
I guess about the only thing left for me is some more exploring, particularly all the shipwrecks and their loot that I missed, and fighting in the unknown worlds.
And for that, it is rather beneficial to have nobody else outright hostile against me.