He worked for the South East London and Deptford Mercury newspaper, the Daily Mail and Sunday Today, before joining the Sunday Times in 1987. He became the editor of Tatler magazine in 1999.
London Evening Standard
On 2 February 2009 it was announced by the Evening Standard that Greig had been appointed its editor, subject to ratification by the Editorial Committee. This announcement followed the announcement on 21 January 2009 by the Daily Mail group that its newspaper division, Associated Newspapers Ltd, had agreed the sale of a majority interest in the Evening Standard for a nominal sum to Evening Press Ltd, a company formed by Alexander Lebedev and his son Evgeny Lebedev and owned by Lebedev Holdings Ltd.
His first step as Evening Standard editor was to launch a series of "Sorry" advertisements across London, after market research showed the paper was deemed too negative and complacent about London under former editor Veronica Wadley's leadership, a move considered to be extremely daring.