This is very much a soft question, and rather a general, quite fuzzy (and perhaps nonsense and/or impossible), idea I have. I have looked around as well as I can, and mostly I found some books with traditional lists and this site.
Q.) Does anyone know if there is anything close to fitting the following description:
A graph of unsolved (possibly even some solved) problems in a specific area of mathematics (probably quite restricted), where we have names of the problems as nodes, and edges describing the relations between them.
I imagine such graphs existing perhaps for specific conjectures, and thus they would provide a good illustration of the work that needs to be done in order to solve it.
I also imagine these graphs to possibly be interactive (hyper linked perhaps), so that one could click on the nodes to get a graph of that problem and/or more information about the problem. The edges could possibly even be weighted, (and directed) to reflect the importance of that problem in relation to another.
(If not interactive then just a graph, and if not a graph, then just a detailed hyper linked database of unsolved problems, that also lists directly related problems together with their importance to that specific problem, but this is of course already close to wikipedia's pages.)
The restriction mentioned in §1 under Q is of course just there for convenience. In a sense, the more problems such a graph would incorporate the better, however this puts a lot of requirements on the functionality of the graph, for it to be useful. Perhaps we could imagine a graph where only the most important problems (graded according to some rules) are visible at a single time. Clicking on a problem could open up a similar graph of that problem and so on.
EDIT: I actually found this thread now, via the 'related' list. I did not see this there while I was writing the question. This thread of course touches on several questions related to this one.