I'm taking American Government (POLS 1000) this semester, and I just happened to remember one of my systems of government I created in the 9th grade.  You see, my family took a vacation to the beach, which I detest, so I sat on a chair under an umbrella all day long and read and wrote.  I remember writing out three different representative-style government organizations that I thought at the time would be particularly interesting to witness in implimentation.  I only remember one of them, however:

It's more or less a single branch of government made up of judges.  Each town (i.e. Cookeville or Murfreesboro) or city section (i.e. Manhattan) would elect a judge.  Every town/city section judge in a county would get together and elect one among them to be the county judge.  All of the county judges would get together to elect one state judge.  The state judges in each region (NE, SE, NW, and SW US) would meet to elect a regional judge.  These four judges would elect one of themselves to a sort of chairman position; each judge has the same power, but this one dude just sort of takes care of administrative matters in relation to the nation.
Now, every judge is responsible for everything below him.  So, let's say that I was elected the judge of Cookeville, then elected the judge of Putnam County, then of Tennessee, then of the SW US, then head judge of the country.  If a problem arose in Cookeville, I would have authority over it.  If a problem arose in an area of Putnam County whose judge could not handle it, it would be reffered to me, and so on and so forth all the way up the chain.
The most major flaw (there are many; I was a freshman, give me a break) is that the workload would be enormous, so I made a change to allow each judge to appoint deputy judges beneath himself at every level in order to allow duties to be delegated.

I'd still like to see how this would work in the real world (probably not well, but since when has a government been worth half a fart?).