So I've played through two games in tiny galaxies, and noticed a few graphical issues that I haven't seen mentioned yet.
First, though, I'd like to echo what many have already said: beautiful game thus far. I am amazed that it will be better.
Loading/Menu Flicker:
On game load, after the intimidating "loading" screen, I often get a green flash. Then, after the "THIS IS AN ALPHA" note, another green flash.
Map Issues:
On the first turn of the game, I was able to see a dotted red line along the edge of the map where the Drengin territory touched the galaxy's boundary (even though they were hidden by fog of war). This told me right where to find 'em, mwahaha!! But that's probably not a good thing, ultimately.
Also, along one edge of the map, the hex outlines weren't highlighting on mouseover. Everywhere else the mouseover worked fine (and I really like that the outline glows the color corresponding to the territory's owner).
Colony Issue:
I had a colony texture not load.
Research and Tool Tip Issue:
I know that much of what is in the research screen is all placeholder text, but some of the text is forced to wrap even though it is one word, resulting in a few letters of the word split onto the next line. I am guessing this won't be an issue when the placeholder text is removed, but having a rigidly fixed width might cause wrapping issues.