I apologize that I don't have time to read the forum to see how many of these have already been discussed.
1) Tourism is ridiculously powerful. It should be a component of a healthy economic sector, not a replacement for one. Also it should probably not require a technology to unlock--certainly not a technology more than two steps into the tree.
2) Early in the game, the AI shouldn't be willing to sell its colony ships.
3) I don't think starbases are working properly in combat: even my unarmored ships don't take damage when attacking them.
4) Please get the "Tech Speedup" setup option working ASAP. The game feels even slower to me than I expect given my play style.
5) Please include a global option to turn off auto-upgrading for colony buildings. Having to do it individually for each colony is annoying... and forgetting to do it is even more annoying.
Thank you.