For those of you who are affected by the stuttering and freezing problems in the retail version of The Walking Dead for Xbox 360, an official solution has been given in Telltale's support forums.
The problem only affects Xbox 360 4GB models not fitted with an internal hard disk drive, playing the disc-based (retail) version of the game.
According to Telltale team member Matt P:
"Acquiring and installing an internal hard disk drive compatible with your Xbox360 4GB console will resolve this issue (a hard disk drive connected via your Xbox 360’s USB port will NOT provide a remedy).
If you are unable to acquire and install an internal hard disk drive for your Xbox 360 4GB, we will supply you with codes to download season one (5 episodes) of The Walking Dead from the Xbox LIVE Marketplace at no charge as outlined in the associated Claim Redemption Form [Click here to download].
Upon confirmation of proof of purchase, Xbox LIVE Marketplace codes and instructions for their use will be sent to you at no charge.
We value our customers and sincerely apologize for any inconvenience caused."
Its installed on a hard drive on both of those devices by the way.