It is a good idea to include the good and bad in those kinds of stories. While doing that, try to remember not to disrespect the place where the story took place.

A lot of the point to relaying a story where a problem occurred and you fixed it is to see a) how you fixed it, b) your attitude (are you arrogant about it), c) what you learned, and d) how did the "team" work together to resolve it.

That last one is a bit catchy. There may have been only one person, but the perspective employer may be an over the top team oriented shop (think agile).