I found a couple of multiplayer bugs while setting up a LAN game and don't remember seeing anyone post them, so here's the report:
1) I created a multiplayer game (LAN) as the host using 21 turn length, 100% funding, and snail speed. My girlfriend entered the lobby, and in the listing for the game that I created it showed it as 21 turn length, 50% funding, and snail speed. When she joined the game it correctly showed it as 100% funding to her, so it seemed to just be a lobby display issue.
2) Using the same settings as above, I created a multiplayer game that used the Europa scenario. In the lobby for her (and in my "waiting..." dialog) the scenario box that shows an icon for the scenario was blank rather than showing the Europa logo. She was able to join the game anyway, but when I started the game her application crashed to the desktop. We were able to reproduce this repeatedly, and it only happened in the Europa scenario, not in 2008 campaign scenario (this one both showed the correct logo and started successfully). I didn't get her debug.err but I can if you need it.
3) This is a question rather than an issue: is there a way to load and resume a saved multiplayer (LAN) game? We couldn't seem to find a way to do it.
Thanks in advance for taking a look at these. The game is loads of fun to play multiplayer, even if my girlfriend did beat me. Ulysses S. Grant sucks 
Edit: FYI, we are both on patch 1.03.