In an effort to compete with the likes of LoveFilm and others, GAME have set up their own online rental service. Similar to its competitors, you set up a rental list, GAME will send out the game(s), you play them, send them back, and they will send out another one.
The are two subscriptions available from the site. 1 Disc at a time for £9.99 and 2 Discs at a time for £14.99. Both of these are a little bit higher than some other rental options available. However if GAME offer a better range of games, or a faster service, then it could be worth it in the long run.
If all this subscription nonsense is to much for you, then there is a 10 day free trial available if you want to try and bail out very quickly.