Nintendo launched the "Check Mii Out Channel" yesterday which can be downloaded free on the Wii Shopping Channel. To read more about this service please read the November 8 Nintendo of America Press Release.
Once you get all you need to know, here's where the fun begins. The first contest of this service is "Mario Without A Cap" in which the whole goal is to make a Mii in the form of Mario without his cap. Then submit it before the contest is over. Unfortunately I don't know much more beyond this point.