The fact that 'A Dirty Job' has comedy and supernatural horror in it, that both are woven in and out of it with a whimsical tone, despite the fact that it's about death, makes it hard to characterize with standard genre labels - but I have no problem with that. I'd call it a funny story about death, and leave it at that.
Christopher Moore... but to remain historically accurate, I would have had to leave out an important question that I felt needed to be addressed, which is, 'What if Jesus had known kung fu?
Christopher Moore