My favorite "dumb crook" story was on the news in Germany a couple years ago. This sounds like an urban legend, but it's quite real.
A woman in the Bonn train station was getting her picture taken in a self-serve photo booth. Her purse was hanging on a shoulder strap. A bag snatcher saw this, figured it would be an easy grab, so he tried for it. The woman held on tight though, and in the struggle, the guy was pulled into the booth.
I think you can guess the rest.
Camera went off, the thief realized what had happened, and took off running. A couple minutes later, after a crowd had gathered and the police arrived, the booth produced a perfect profile photo of the guy.
He was caught about four hours later.