So you want your own game server and you’re not afraid to say it. What can you do? There are two ways. First, you can install the game server right on your Beckbox. The second (and probably more fun way) is to just run it in your house. Just open up whatever ports that your game server needs on your router and then follow the directions on the Dynamic DNS Howto.
Also, if you’re the one person who actually wanted to actually do something useful with your broadband connection like share family photos that you can organize right on your desktop, that howto will work great for that, too. (You can even run nginx, the same web server, on your home desktop. Let me know if you need a howto on that, too..