There are a number of news stories like this (in Russian) of an iPhone 5 burning up and causing a fire while charging overnight, seriously damaging the owner.
There's another story going around of a girl dying because she was listening to her headphones overnight while the phone was charging, whereupon the phone unexpectedly ignited.
These stories seem slightly far-fetched to me (the girl in the image seems to have injuries that couldn't be caused by headphones), and the sources for them don't seem particularly reputable. Is there any credible risk of leaving your phone charging overnight or dying because of listening to music on your headphones while the phone is charging?