Wen Spencer’s Ukiah Oregon novels (Alien Taste, Tainted Trail, Bitter Waters and Dog Warrier) are about a feral child turned private detective who has enhanced senses and other abilities.
Well, there’s a few Philip K Dick novels about people with some degree of psychic ability. For instance, a few of the characters in The Three Stigmata of Palmer Eldritch are precognitive, and have made careers out of it. It’s not usually the most important part of the story, though, kind of an secondary aspect.
You beat me to it, Kat. I love those books. There some great recommendations here. You might also like E.E. Knight’s Vampire Earth series.
For some darker but thought-provoking material, you could try John Ridley’s Those Who Walk in Darkness and What Fire Cannot Burn, about cops who hunt people with superpowers, or Thirsty by M.T. Anderson, about a boy who is becoming a vampire in a world where that is a very bad fate indeed.
It’s less a power and more of a disability, but The Time Traveler’s Wife features a man who’s born with a genetic disorder that causes him to randomly pop into different times. He often ends up meeting himself and his wife as children, but surprisingly the whole thing holds together as a consistent timeline.
The Lathe of Heaven by Ursula K. Le Guin
The power to dream reality.
Larry Niven’s stories about Gil Hamilton. A collection of short stories, published under the title The Long A.R.M. of Gil Hamilton, and a novel titled The Patchwork Girll. I believe they have recently been re-published, all in one volume, under the title Flatlander.
When one of his arms is amputated, Hamilton develops an “imaginary arm”. Psychokinesis allows the “arm” to pick up objects, and ESP gives the “arm” a sense of touch. He can only reach the distance of his natural arm, but he can reach through solid objects. He returns to Earth, and becomes a cop, working for an agency called the A.R.M. (Thus, the triple pun in the title of the short story collection.)
Misfit
Yeah, Lathe of Heaven was awesome. Really short, though.
Yes, I was thinking that the OP might like some of the ones that involve magical people in modern-day, mundane settings, like Jim Butcher’s Dresden Files books, Charlaine Harris’s Southern Vampire series (HBO is making a show based on these) or Tanya Huff’s *Blood *series.
Andre Norton (may she rest in peace) wrote a great many books about people (not necessarily humans) with assorted powers.
I just got into reading the Preacher series of graphic novels. While the main character DOES have a power, generally he relies on more physical means.
Sunshine by Robin McKinley is very good.
I’m very fond of Dianna Wynne Jones’s books.
Ishmael is about a telepathic gorilla, but the meat of the book is a compelling (imho) look at human history, the religions of the world, and the global food supply.
And another nod for The Fermata.