I've always thought the demo scene looked cool. Problem is, I don't really care about graphics and sound and am not an especially creative person. Are there are competitions that are purely objective? As in, the objective criteria is quantitative?
But, what I did last year was visualize one of the assignments; the assignment was something about overlapping areas on a field, the naive solution (for me) was to create an x by y bitmap and just add the overlaps, which could then easily be converted into a visible image, which helped me with visualizing the problem and my solution.