I have to say that, for whatever reason, I have not encountered any issues with the game on XBOX.
I had some control issues at first, but with the advice of several different posters here, I adjusted the settings( both controller and car tune), and find everything working as good as can be expected. I'm about 90% through career mode as I write this. I skipped the drifting, and one of the endurance races.
There are no doubt bugs, and things that are just not right, and I hope these issues will get worked out in a patch, but the game itself has for some reason, worked just fine on my console. No freezes, no white screens, no saved settings lose, and I have yet to have a problem receiving race winnings, etc.
That being said, my friend, who also uses XBOX, is having almost every issue thats been listed thus far in this forum. So much so, that we cant even join in a race together. He locks up almost every time he tries to play the game, if not at first, usually within the first 10 minutes or so. In the end, he shelved it. I totally understand the frustration, and even disappointment all of you are having. Hopefully they can get everyone back up and running as, in my opinion, its a really enjoyable game to play.