This can possibly drive you crazy. This problem is very frustrating because the console simply stops responding, such that you loose the game you have either not saved or ranking very high which can actually be annoying. You can turn the console off and then turn it back on again and you will probably be back in your game, but it is temporal.

To deal with the problem permanently you would need to know the cause.

Your Xbox 360 freezes up because of overheating - this causes the motherboard to bend and the soldering to snap off and this causes the chips to loose connection thereby resulting to a freeze.

Microsoft can fix this problem for you, you only have to send your console to them and they deal with it for you. The problem is that you would have to wait so long to get your console back.

Alternatively, you can use an Xbox 360 repair guide, it is actually a collection of text and video tutorials that would help you get your system up and running in no time. It is actually the best alternative available with step by step instructions that help you a great deal in fixing the problem that has stopped you for a long time now in getting back to you favorite games. you should know that the repair guide gives the ability to get rid of the problem yourself and also offers you the opportunity to reduce cost of spending and saves your time greatly.