A Game of Youdunit!
From the introduction:
Nothing Sacred is a game of make-believe. Of a make-believe city with hardboiled investigators, beautiful femme fatales, jealous husbands and deadly siblings, all trapped in situations they didn't cause, striving against uncaring fate and only making matters worse.
A death has occurred! (Or close enough that it doesn't matter.) And each player takes on the guise of one of the suspects. It's a race to see who can pin the murder on another player. Will you remain an unlikely suspect? Or turn out to be the cold-blooded killer?
Oh, one more thing...all the suspects are gods of ancient myth.