Either its problem with your browser or that you need a newer adobe flash, or shockwave player or that your computer has some blocked sites and the site works but not the games, Or it might ALSO be because the game is broken.
Least likely of your suggestions. AG games are almost always correct, and developers do test their games. Even if such a thing were to occur, be sure it would be repaired quickly.
It could be that your adblocker is blocking the game, or your computer is protected by firewall, which is also could be blocking the games.
These ideas seem the most likely. Also, Blubber suggested updating your Flash (Shockwave isn't used on this site, though it is a good idea to update it).
What game? Any game?
Oh, questions must be answered when posting a report on games not working:
What game doesn't work (Or do all?) Do you have good internet? Are you sure your Flash is up to date? Do you have a new computer or old? What browser are you using? What system is your computer (Windows, Mac, Linux?)