Got a map with totally stranded system - you cant visit it at all as it is not connected to any other star system.
Star system on the right-bottom corner of the map.
I even got 3 stars that were not connect to the rest, only to each other. This happens really few times though... got it in maybe 5 games now out of 200 hours gaming.
Here is the Stuff I made:
And stuff is always better than no stuff, right?
Unconnected star systems can happen on the map, the devs know about it, and do not consider this is a bug. It makes the game universe feel more vast and mysterious; you cannot go everywhere.
What matters is that there is always a way to reach the exit, and there is always a path to quest markers. If you find an unconnected exit or quest, then it is a bug.
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I have run across impossible to reach quests, not because they weren't connected, but because they were impossible to reach before the fleet got to them. One recently, it was a carryover from the previous sector (quest continuation found near the end of sector). I started in the upper left beacon. The quest beacon was on the far left edge just below center, 3 or 4 jumps away (I forget exactly) but if you jumped directly to it, the rebels overrun it just before you reach it. (ie one jump away and its in the zone that next jump is under rebel control)
Fortunately it was just the quest where you deliver drone parts, and not a ship unlock or the Mantis weapon stash.