During the Electronic Arts talk at the Ubuntu Developer Summit, it was mentioned that the original Sims City was open-sourced, parts of Sims 1 was open-sourced, and that overall EA isn't opposed to open-sourcing old code that they no longer have commercial interest in. As readers within the forums pointed out, there is gpl.ea.com.
If going to this basic EA mini site that's titled "Open Source", there's GPL code available and games mentioned like Sims 3, Need for Speed, Darkspore, and others. There's also Origin -- their Steam-like game distribution service.
Sadly, when clicking on any of these GPL code drops for the different Electronic Arts titles, it's basically close-to-upstream copies of WebKit. For Origin, there's copies of the open-source Qt. At least though they are complying with the GPL...
That's it for this open-source GPL EA web-site.