1% of humans have magical powers. But contrary to popular belief, such powers are vague, weak and almost useless. A curiousity at best.
A psychic helps solve a case, and then in a nearby town another psychic helps with a different case. A detective who has a family history of things occult hears of these and starts an unofficial crime-solving team.
As the series develops, more and more helpers come into the fold. Crimes are not easily solved because the magic used is weak. At best the psychics get glimpes, flashes, momentary insights, which are never more that clues, but clues enough to tip the balance and solve the crime.
For example, on of the eventual, diverse team is The Librarian, who walks around the library until they are drawn to a book, a page, a line, that will be a clue.
This world of course can contain, on top of the psychic power, telepathy, telekinesis, spells of romance and suggestion, dowsers, seers and whatever else, hopefully some lesser known, small skills.
And at the end of season one, demons get involved, and the stakes are ramped up.
Might as well set it in True Blood type locations, with the heroes being country folk and the demons being in the city.
And, just for a change, have some animals that help – cats, dogs, crows, an octopus. Not shape-shifters, just animals.