In addition to extending the traditional choral repertoire at Winchester, Neary commissioned new works from Jonathan Harvey and, in particular, John Tavener.
Overseas tours were made with the Cathedral choir, and in addition to his own organ recitals at the Cathedral he drew organists from across the world to play there, including Daniel Chorzempa, Daniel Hathaway and Marilyn Keiser from USA, Raymond Daveluy from Montreal, Peter Planyavsky from Vienna and (among others) from the UK, Ralph Downes. With his assistant organists James Lancelot and Timothy Byram-Wigfield he was responsible for planning of the major rebuilding and enlargement of the Cathedral organ by Harrison and Harrison in 1986–88.
On 22 April 1998, Wesley Carr, the Dean of Westminster Abbey, dismissed Neary from his position at Westminster Abbey on the grounds of gross misconduct regarding the finances of a company that he and his wife had set up to administer fees from concerts at the Abbey.[8] Neary petitioned Queen Elizabeth II, as Visitor of the Abbey, to resolve the dispute. The Queen appointed Charles Jauncey, Baron Jauncey of Tullichettle, to be her Commissioner. After a 12-day hearing, Lord Jauncey determined that the decision to dismiss the organist and his wife "must score gamma minus on the scale of natural justice",[8] though upheld the previous verdict. The report also stated that Neary's musical abilities, and the hard work which he and his wife had done on behalf of the Abbey and the choir, were not in question.[9]
^‘Determination Of Lord Jauncey Of Tullichettle Acting as a Special Commissioner Appointed by Her Majesty The Queen as Visitor to Westminster Abbey and as Arbitrator’, 9 Dec 1998 [2]