Here's an excellent story by Walter Mosely, which starts when his protagonists starts getting phone calls from a man who claims to be his dead father, he suspects it's not a good sign. When he finally breaks down and checks out the cemetery where his father was buried, he meets up with a man who is the spitting image of his father and full of spotty but eerily accurate information about their family--he knows it's not good. Though it's as much a character study as SF, the one thing it isn't is Fantasy, much to my surprise.

(Source: Aspect)