He shoots ... he scores!
So I would say that I hit one out of the park today on my first real (although partial) day on the job. For those of you who are interested in the technical details: The client needed to be able to put HTML code in the title of a block, which is something that Drupal does not allow. I developed a simple, yet effective and extensible workaround. I haven't taken it to the point of writing an actual module; that would take considerably more time and effort. But, if the client decides that they want to pay me to do so, I am prepared with a plan to create the module.
I hope my employers are duly impressed. I'm sure pleased with what I was able to do and I think the Drupal community would approve, too; my solution wasn't *too* hackish and I made decent use of Drupal's native structure and functionality. If the decision is to not bother with creating a full-blown module, then I will probably just post a comment in a forum topic that is related to this same issue to describe my solution to the problem.
Stay tuned for further updates.
Yay, me!