This is easily the most common, and well known way to get the best out of your game. What you should do, is go to the Xbox 360 dashboard.
Insert the game into your Xbox 360 and then go to game library when it loads. After this, press A on the game and choose the "Install" option. This should take a few minutes so be patient. When this is done, the game may or may not be more recognizable to your console.
Not many people know about this one. If you are using a USB device on your console such as a flash drive, power-off your console then remove it. These can sometimes affect your Xbox 360 in a negative way.
The same should be done with the HDD. Power off your console, remove it, then see if the game is easier to load. Afterwards you can put it back in if you need it for the game.
Power-cycle your console.
For those of you who do not know how to do this, simply unplug all cables from your Xbox 360 and the wall. Wait somewhere around a minute or so and plug everything back in. Your console has now been power-cycled.
Clear your system cache.
This is done simply by going to the Xbox dashboard, going to memory, device options, and clearing the system cache. This will delete any updates you have so be prepared to download them again.
If none of these work then try cleaning the disc with a soft cloth or try buying a disc cleaner disc and insert it into the drive and after it finished try again if all fails then you have to replace the disc drive they easy enough and cheap enough.
