I just started my first hotseat game (2 human players, 7 AI, continents) and did notice some bugs which don't seem to have been reported before (sorry if they were) :
"The most [...] civs of all times" popups only showed up for Player 2 so far. No big deal in itself, but the window pops up when Player 2 presses Enter to end turn. The result is disturbing : rankings appear on the black background, behind the "Player 1's turn" window. The rankings window featuring Player 2 has to be closed by Player 1. Hope this is clear enough :)
When Player 1's units are attacked, the fight is not shown. There's only a text message displayed showing the result. This doesn't happen for Player 2, which can see the fight (We've only been attacked by barbarians so far [EDIT] : having been attacked by other civs, Player 1 doesn't see any fight at the beginning of turn, only text announcements. Player 2 sees things normally. Tricky to follow things while at war ...).
Some messages aren't displayed, particularly the cultural borders expansion ones. We have to search the log to track the information.We played only a small number of turns (520 AD) ; if we notice some more bugs, I'll add them to the list.
I don't have any relevant save to post yet. I'll try to post some saves if I see some of those bugs occur again.

Addendum :
When Player 1's turn begins, the view is zoomed in. Player 2's is zoomed out.
Here's a screenshot to depict the "greatest civilizations" popup problem (see previous post) :http://img100.imageshack.us/img100/4044/clip37resize0dx.th.jpg (http://img100.imageshack.us/my.php?image=clip37resize0dx.jpg)

I have saves available to post here if helpful.