In 1973,he re-established The Garda Review which had ceased publication and in 1975 was chosen to be one a team of journalists to establish the news features section of RTE under the direction of the legendary Mike Burns.
He positioned the newspaper firmly behind the Northern Ireland peace process while strongly supporting the liberal reform agenda in the Republic.
He retired from The Irish Times in 2002, after implementing an editorial restructuring of the organisation, necessitated by an accumulation of high costs and a fall in advertising revenues.
There was some staff criticism of the parting package agreed between Brady and the company, with some claims that it was over-generous at a time of financial challenge for the organisation.
However, The Irish Times subsequently went into a lengthy period of marked financial success, with reduced costs, strong revenues and free of debt.
In May 2017 he was appointed to be a member of a new commission on the future of policing in Ireland but he resigned in October, citing lack of resources and political commitment.
He is vice chair of Midlands Radio 103 and co-founder of CaliberAI, a defamation and harm speech technology solutions[clarification needed] startup.
Brady has several published books on a range of subjects, from histories of the Irish police force to personal memoirs of his journalistic career.
He has also written a series of crime fiction novel, set in Victorian Dublin and featuring the character of "Detective Sergeant Joe Swallow", under the titles A June of Ordinary Murders, The Eloquence of the Dead,” “A Hunt in Winter” and “In the Dark River.”