There are two different methods to do this
How to Update Xbox 360 Games Without an Xbox Live Account (Read How-To)
Do you have an Xbox 360? I've had one for a while now and I love it! As with all gaming consoles, there are occasional updates to add new features such as social networking tools like Facebook, Twitter, etc. or the ability to play different types of files.
To get these firmware updates for your Xbox, you would normally download them from Xbox Live. Xbox Live has two types of offerings, free and Gold Membership.
The free version gets you free game demos, game add-ons, games on demand, arcade games, avatars and voice/text chat. The Gold Membership gets you Facebook, Twitter, Last.fm, streaming Netflix, video chat and Xbox Live parties.
