That's not a bad idea, actually. Maybe they should have the site news be moved to a place near the top or the bottom, making the home page bigger, so that there is room for maybe ten random games on the list. Of course, as usual, you'll stumble upon the best games by accident.
I don't see why you cant just refresh the page... that is what I do when I need a game to play. Or you could close your eyes and start clicking everywhere until you hear the AG preloader. hahaha, that could be fun. xD But yeah, no need. It would be unnecessary and cause lag. One spot for a random game is enough. heh.