Yes it's working here on Fedora 13 with Adobe Flash Plugin 10.1.85.3. My only advice at the moment would be to first go to the adobe site and check to see if Flash is working correctly:
If adobe thinks it's working and your games are still not working, maybe try to reinstall using the Ubuntu multiverse repo. Like I said earlier, there might be an extra step that Ubuntu needs for setup that installing it from their repos will solve.
You might also consider checking what plugins you have installed, and seeing if any of them are interfering with the game. I just found out that firebug was slowing my access time, so, I've disabled it until I actually need to use it.
I don't know what hardware you're using, but, as the game was loading, I noticed that it was loading into memory. You might need more memory in order for it to run properly. But here I'm just guessing.