I did have a Lithium Ion rechargable battery explode on me. I had a new, 3rd party battery pack for my Yaesu VX-7R amateur radio handie talkie in the factory smart charger for about 5 hrs when it exploded. It threw hot material on a stack of papers, starting a fire in my living room. If one of the roommates hadn't heard it pop, it could have burnt my house down.

While it was a 3rd party battery, it was from a reputable supplier of replacement batteries that has been around for a long time.