'dubious stories' is correct and usable in written English.
You can use it to refer to anecdotes or accounts which are not reliable. For example, "The witness told the court numerous dubious stories that lacked consistency and detail."
Unlike Chalabi, who became infamous in America for having planted dubious stories about Saddam's weapons programs, Allawi somehow emerged relatively unscathed from the W.M.D.-intelligence fallout.
In The Titanic Orchestra, which has never been performed in Britain, Hannah plays a mysterious magician, dressed in top hat and tails, who turns up unexpectedly, with dubious stories to tell of the wider world and its many deceptions.
The next morning the professor was startled to learn that dozens of locals were waiting in the lobby for breakfast with him, many with dubious stories to tell of a time before they were born.
Yet those working in newsrooms talk of dubious stories being tolerated because, in the words of one, some senior editors think "a click is a click, regardless of the merit of a story".
And when dubious stories are repeated often enough, they can be mistaken as truth.
This text underwent numerous expansions and revisions throughout Antiquity and the Middle Ages, containing many dubious stories, and was translated into numerous languages.
Relatives said he told one nephew a dubious story about working for the Central Intelligence Agency.
If a significant but dubious story goes up, legions of reporters and columnists and bloggers eagerly compete to tear it down.
There is a well-known if dubious story that claims that at a concert in Glasgow Bono began a slow hand-clap.
Warhol, cagily diplomatic, floated out an equally dubious story: some of the men depicted had been cleared of criminal charges, so the piece was no longer "valid".
The only scandal that the celebrity sleuth Mr. Morton could turn up was a onetime ploy by Mr. Beckham to escape a traffic conviction by telling a dubious story about being followed on a high-speed chase.
