Allrighty! I has some saves for you for the 3 problems I brought up.
First, the solar map event one, basically the thing that keeps happening is that within the 3 or so minutes it takes to do a 20-month dispatch (which I'm mostly doing to get credits), multiple major wars break out, and also finish within that time; typically, in this short time multiple planets will change hands, or one or two races may also be wiped out. There's some other things that seem to be happening a bit fast, but this save is mainly to capture the war issue. I only did the one dispatch mission, which was immediately after a smuggling one or two, I think.
Second, the smuggling mission save. Boarines and Evucks appearing in this one. My ship starts out quite far away from any of the probes, but at the moment the mission begins, 2 of the Boarine probes will freak out and activate. It's always the same 2 in this mission. Completing this same mission loaded from this one save in exactly the same way each time, and without setting off other probes or even firing, will produce a random result. Sometimes the Boarines are angry about it, sometimes it's the Evucks, sometimes it's both, or it might be neither. This has been happening on every smuggling mission for me.
Now, the predator bit was.... difficult to capture, as I'm not really sure how to best go about that. The main issue is two things: 1, their extreme damage.... an individual bullet from a Predator does 12000 damage! Though it was about 14000 damage originally.... but when I loaded the save their damage level dropped (even for already spawned bullets it seems to do this), and then it just stayed that way. Combined with their firing pattern, that enormous sine shape, they have a very good chance of hitting you, sometimes with all 3 shots. And finally, like most of the slower ships, they tend to sit in one big clump, so that each bolt is actually 3 or 4. I've taken 80000+ damage from getting hit by that mega-bolt... and that's when getting hit with only one of them! This save is on Hard, it's much worse on Misery.
Hope that helps! Those 3 things are pretty much the only major problems I've got at this point. Though, the Andors never electing anyone might be another, unless you already fixed that. But yeah, those are the big ones. Anything else I can think of is just small stuff, I'll pop those onto Mantis later.