I think it would be a good idea cause then you can see what your friends are playing. Also it will make it a lot easier when you played a game that you really loved and forgot to save it.
Sorry to debunk your idea... but this would also mean that when you don't like a game, it too will show up in that list! And that would become messy... :/
Let me ask you this... when you forget to save a game to your favorites list, why not try to find it again and then save it?! You must surely have a slight memory of what it was called... and if you can't remember at all, there's always a way to find it! Simply ask a question in the Flash Games Forum and other users can help you find it again! Et voila! Problem solved...