I've noted similar problems with ship/planet icons on the right side of the screen. The problem is worse in the biggest galaxy settings later in the game. Sometimes the icons never "fall" all the way to the bottom of the screen, and get stuck part way down.
This wouldn't be such a big deal if you could recall the turn's News window. That way, you could just do all the checking there.
I've also had problems with late pop-up Windows. By that I mean that I'm reviewing construction event for a turn, get into a planet screen; and get a pop-up that a planet has defected to my side. At that point, the planet screen is often corrupted (displaying things like two Star Ports, resource bonus tiles disappear or lose the bonus icon, etc.).