The government will write to additional sports governing bodies to ask them to look into potential child sex abuse in their respective sports.
The Football Association's internal investigation into historic sex abuse in football will be "properly resourced", the Secretary of State for Culture, Media and Sport said.
Karen Bradley said it would look at "what the FA and clubs knew, and when, and what action was or should have been taken".
She was responding to an urgent question by Labour MP Rosena Allin-Khan about historic sex abuse in football.
A woman molested by a priest as a child was named by Pope Francis to be part of a core group to help the Catholic Church fight the clerical sexual abuse of minors.
The first eight members - four women and four men - hail from eight different countries and include Boston Cardinal Sean O'Malley, former Polish Prime Minister Hanna Suchocka and Baroness Sheila Hollins, a British psychiatrist.
The victim is Marie Collins, who was abused in her native Ireland in the 1960s and has campaigned for the protection of children and for justice for victims of clerical paedophilia.
A former prep school teacher is thought to have killed himself just two days before he was due to be sentenced for sex crimes.
Hugh Henry, 82, from Amersham, Buckinghamshire, pleaded guilty to 11 counts of indecency with or towards a child, and two counts of gross indecency with a child.
He was expected to be sentenced tomorrow.
Mr Henry is thought to have jumped in front of a train.
"A body, believed to be that of Hugh Henry, was struck by a train close to Amersham London Underground station on Tuesday," Thames Valley Police said.
Henry was due to be sentenced with Roland Peter Wright, 83, from Farnham Royal, Buckinghamshire, who assaulted five pupils aged eight to 13 at Caldicott Boys'Preparatory School between 1959 and 1970.
Deputy Prime Minister Nick Clegg spoke of his shock after Wright was convicted. Mr Clegg was joint head boy at Caldicott in 1980.
Claire Lilley, policy adviser at the NSPCC, said she hoped the findings would ring "alarm bells" with authorities that the problem required urgent action.
The NSPCC obtained the statistics through Freedom of Information requests to each of the 43 police forces in England and Wales.
But only 34 forces supplied figures - revealing a total of 5,028 offences - so the true number of offences is likely to be higher, the NSPCC said.