I know that this WIP and that some things might change in the future, with that in mind:
1. The zigzag movement is killing me and with the slow movement and calm music is even worse. I hope this doesn't reach the end game. A magic warp/teleportation option (skip movement as it is now) is not a bad idea but I like to see how my ship moves (I like how it is in galciv2)
2. The "birthing subsides project" should be logarithmic instead of percentages. It would really give a boost for new colonies before the population can kick in it and, since it is a subside is not limitless (and make it cost a low quantity of BC like the output of the planet + 1 or 2 BC more, that is if it is not implemented right now, since it is a subside). I said this because the production is now affected by the population.
3. Since you introduced the idea of "levels" and "adjacent levels" in tiles/buildings I think that is a must that you can choose where you want your capital be. Or at least have a much better placing algorithm than just "random", something like: it must be on a free tile (free from bonuses) and with at least one adjacent free tile or a manufacturing bonus (I would use the last if I can because it is a nice bonus/boost to my new colony and I can destroy/rebuild for a new better building later on).
4. The speed of the scout ship that is given at the start should be or faster or with much better sensors (or both). Although it is a nice addition I do not find it that useful in the short-medium run because I ended exploring with colony ships. Also, it makes sense that a scout ship should be way better at scouting that a colony ship
.
5. Jack of all trade star bases: since you not loner can build a star base in the influence region of another star base it would be good if you can build a multi-purpose star base with added cost per section (economic section, tourism section, etc, etc) and the number of adds could be limited by technology or/and intergalactic laws.
6. Allow to have more than one technological/manufacturer/economic capital (if added at all) limited or by the galaxy size or by the influence of such capitals (the same way it is now with star bases).
That is all for now.
Edited to add some more ideas/opinions.