the easiest way to go about doing that would be to find an existing arcade game that someone made for similar purposes
the people who designed the web site you want it on would then have to tweek the websites code to embed the arcade game within the web site and make it work there
not a simple process.
im not too sure about forums and how they work but if vbulltein has one like you said and the website uses vbulltein, then vbulltein should be able to send them an upgrade that contains the game
We do it for the people.