Title says it all.
I'm going to start this off by suggesting the first two that come to mind, and why
Brian Johnson of AC~DC - he's never had a strong voice, and he's been squeezing/pinching it so hard for so long i'm almost positive it bleeds after every concert
Neil Young - if you like hearing a man sing in falsetto, and not very well, the Neil is your bloke. His music is good, and somehow he makes it work