There are some great places on the web where you can find stories of engineers solving real problems.
I cannot vouch for the truth of any particular story. Sometimes, I personally believe that the storyteller was wrong about the root cause or underlying basis of a problem. Sometimes, the storyteller is not very good at explaining the problem. They might use extremely specific jargon, leaving the meaning hidden to casual readers.
Once in a while, the stories are very funny. A few might even be frightening.
But in any case, I have found some education or entertainment from each of these sites at one time or another. As an electrical engineer, I probably have a bias towards circuit design and electrical problem blogs. Please feel free to suggest new links that belong in this section.
EDN Magazine offers a wonderful blog/forum titled
Design News Magazine offers the excellent Sherlock Ohms collection of user-submitted stories.
EE Times Magazine has a more general blog area, but problem solving is a recurrent theme amongst the posts.