1. Desperately needs some sort of quick-start option, at least to get your starter colony a kick in the ass. My first build is always "relocating your capital" to your start-up colony unless you want to stare at the screen for 30 minutes while you slowly get the resources you need for it having blown your initial treasury on other doohickies. Why the hell do I need to relocate my capital? From where? Can this shadow government give me some more starting capital? Just a trickle of income maybe? Would be nice. Make the start-up colony be the default capital, please.
2. Winning by culture needs to be re-examined. For my first game against an easy AI I conquered every single planet/planetoid except his homeworld and he somehow managed to subvert my capitol and cause it to go to 0% loyalty using a single media center. My homeworld. (And yes, I know the proper counter is to build a media center but this was on an 8 planet map. I didn't even have enough logistical points to climb the entire tech tree, much less have spare room for a media center)
3. Thank you, thank you, thank you for making capital ships and planets/planetoids renameable. This was one of my main hang-ups with Sword of the Stars.
Otherwise I like it a lot so far. Runs at 1680x1060 extremely well, graphics look great, music, voice, atmosphere.