According to the Daily Mail, the Hussain family in Bradford were Muslims before they all converted to Christianity.
Since then, they claim they have suffered regular persecution from Muslim neighbours who view them as "apostates" - someone who converts from one religion to another. Renouncing Islam for another religion is punishable by death in some Islamic countries.
The Hussain family says the victimisation it's experienced includes having their car windscreens smashed seven times in the last year, having eggs thrown at their windows, and verbal and physical confrontations.
One prosecution has been made, and the father of the family, 49-year-old Nissar Hussain, has himself received a police caution.
Nissar Hussain was forced to quit his job as a nurse after being diagnosed with depression and post-traumatic stress disorder, and the family have already moved house once.
Mr Hussain has criticised both the police's and the Church of England's responses to their situation, and has filed a complaint with the Independent Police Complaints Commission.
He told the newspaper: "We have given up on the Church of England, they have done nothing for us."
"Our lives have been sabotaged and this shouldn't happen in the United Kingdom.
"We live in a free democratic society and what they are doing to us is abhorrent."
West Yorkshire Police said in a statement: "We are aware of an ongoing matter involving Mr Hussain and are working closely with partners to resolve this situation.
"All reports of crime are taken seriously and are investigated thoroughly."
The Bishop of Bradford, the Rt Revd Toby Howarth (in the new Diocese of West Yorkshire & the Dales), said: "I am aware of considerable attention and support which has been offered and indeed provided to Mr Hussain by his local Anglican vicar, supported by myself and my predecessor.
"Mr Hussain's vicar has met with him on many occasions and has worked with the local police, the local council and other bodies including representatives of the local Muslim communities in trying to resolve this difficult matter.
"I fully support the ongoing work of the Multi Agency Hate Crime Conference, of which the local vicar is a member, which continues to try to bring a resolution to this situation."