Re: battlefield 3 disc could not be read XBOX 360

Could you please tell us the exact model of your 360 console? If you have trouble with two different copies of the game, it might be that this issue is related to the laser lense on your console. 

To make sure that no corrupt data causing your issue, you should clear your cache:

1. From the dashboard, click on My Xbox.
2. Select System Settings.
3. Select Storage.
4. Highlight Hard Drive Device.
5. Press Y to select Device Options, then Clear System Cache.
6. Reboot your console.

Redownload the updates for the game. NOTE: Not all games have a Title Update File.

1. From the Dashboard, click on My Xbox.
2. Select System Settings.
3. Select Storage.
4. Select Hard Drive Device by pressing A.
5. Select Games and Apps.
6. Select Game Title.
7. Delete Title Update File.
8. Restart Game.
9. Download the update when prompted.

Cheers                                                                                                                                                                       
Basti