I did not check out 1.3 yet as I stopped playing out of frustration. Maybe some bugs were already fixed in 1.3.
-During battle, ships remind me of a fish swimming around bumping into each other without any logical purpose.
-Weapons effect for all weapon type is almost the same.
-Ideology has bugs, for example, good ideology should give you 150 research points when you choose that perk, (last row) it does not. Evil ideology perk which supposed to take 25% of hit point from your enemy actually takes that from you.
-No galactic news when some race builds one of the kind monument.
-When you go to research and you have more that 1000 points, the word research overlaps with number of research points make it hard to see how much points do you have.
-I don't know if I missed something but few times during the game uninhabitable planets suddenly became class 25 planets.
-You can't tell a race to remove ships or star bases from your territory.
-Invasion screen is so simple that it's sad.
There were few more bugs I found, just can't remember them now. Guys at Stardock should focus more at fixing all bugs and polishing the game first before releasing any DLC's. Just my few cents .