First of all..I am totally loving GalCiv II. I wasn't in the GalCiv I beta but take the bugs out of GalCiv II and I'd happily trade GalCiv I for it.
What I like:
(1) Planets on the map. This makes the game a lot more easy to play with and more visually interesting.
(2) Per "tile" influence. You can see influence moving around. I like that.
(3) Designing ships. This is great fun. I wish there were more "extras".
(4) The new colony system. There's actually skill involved now! Yippe!
(5) The pacing. The tech tree makes more sense. No more goofy things like "4D phasing".
What I don't like:
(1) I understand the need for pre-designed ships for people who don't like designing ships. But I want an option to turn them off.
(2) For people who want pre-designed ships, you should have a lot more of them.
(3) I like being able to see ships I previously designed but I want an option to turn that off too.
(4) The planetary colony management is a little repetitive. On the first few planets it's important but later on you're just going through the motions. I would like to be able to research a technology that gives me governors who will let me set up the planets as tech planets, industrial planets, population planets.
(5) Not nearly enough things on screen. Does a planet have a starport? Is it working on something? Does it have empty tiles not used?
(6) Not enough variety in weapons and defense sound effects. The sounds get grating after awhile.
(7) Need more visual differences in the weapons and defenses.
(8) The mass driver behavior is stupid. Mass drivers are bullets. They can't curve to hit ships. They're not missiles.
(9) Invasions are lame.
(10) There's no sort of centralized area to learn about your civilization. You have it split up in tons of areas. Why? Put it together in a single place.
(11) Too much hidden stuff. A planet has an "alien influence" of 4.2. Why? What does that mean? How do I change it?
(12) The AI keeps coming up bothering me with a "Wanna trade?" type stuff. Don't bug me unless you have something specific to say.
(13) There should be some modules to add to starbases from the start. A basic defense, weapon, etc.
(14) More descriptions on modules, improvements, etc.
As for bugs, still compiling that. Will get back to you.
I absolutely love where things are going overall. After playing Civilization IV all last week after classes and discovering that it sacrifices replayability for "ease of use" this beta was what the doctor ordered.