In 1997, with Sir William Deane and Lowitja O'Donoghue, Browning founded the Australian Centre for Christianity and Culture in Barton, Canberra.

In 1999 Browning resigned as Bishop of Canberra and Goulburn after he revealed he had had an adulterous relationship with a female parishioner 15 years earlier.

In May 2008 the Bishop of Salisbury, England, licensed him as priest in charge of the Wriggle Valley benefice in the county of Dorset, where he remained for a year.

"[5] In 2011, Browning met with the Prime Minister of Australia, Julia Gillard, to support a carbon tax.

He said his organisation, Australian Religious Response to Climate Change, wanted to assist politicians to create good legislation as this is a moral issue,[6][7] Prior to a United Nations' climate change meeting in Paris in December 2015, Browning was a signatory to a letter calling on world leaders to discuss a ban on new coalmines and coalmine expansions.

[12] Browning is an advocate for Boycott, Divestment and Sanctions against Israel for its illegal settlement programme in the Palestinian Territories.

[13] Browning and his wife Margaret have three adult sons (Philip, Richard and Timothy) and two daughters (Pat and Chris).