Sign into Xbox Live on any account

Now sign out of Xbox live. (make sure you are still signed in on the account)

Now play any game offline

Once you have played the game, sign out completely and move your profile onto your computer.

Now open up your profile in a hex editor

Find out the game ID of the game you just played. For example the game ID for Halo 3 is (4d5307e6)

Now search for that ID in hexadecimal in hex workshop, keep searching until you find the game ID next to the game name.

Once you have found the ID for your chosen game swap it for the ID of the game you want to be in your games list,

Rehash your profile then put it back onto your device, then sign into Xbox Live, wait about 10 seconds, then everything will update.