Well, for starters, you could use it as a remote desktop/VNC terminal. You could use it to set up your own personal website. You could run multiple operating systems with Virtualbox/the better but pricier VMWare Workstation. You could use it as a media server. You could use it as a firewall. You can also use it as your everyday computer and install a desktop-geared operating system on it. Whatever you do on a PC you can do on a server, only multiple times fast.
As for video games, 8 Gigs of RAM and 2 Xeon processors by far exceed the requirements of even, say, Crysis, which is known for its poor optimization, but you will probably need to have a graphics card upgrade-servers were not meant to be plugged into a display. Preferably something high-end, as the graphics card is sure to be the bottleneck in this massive beast of a system. You could be a game host, speaking of games.
What else is there inside the server box? Only the motherboard and RAM? What is the make and model of the server motherboard?