During this time Graham was also consultant to the BBC (1989–1992), putting forward the case for public service broadcasting.
In 2011 the establishment of the Balliol Historic Collections Centre in the fully renovated St Cross Church was completed, aided by a donation of £1 million from the Shirley Foundation.
[11] Other posts include member of the media advisory committee of the Institute for Public Policy Research (1994–97); board member of Channel 4 Television (1998–2005); consultant to the BBC (1989–1992), writing extensively on the case for public service broadcasting;[12] trustee of the Esmee Fairbairn Foundation (2003–2005); and director of the Scott Trust (2005–2016).
From 2014, he was consultant to Mammoth Screen for the BBC series Poldark, based on his father's novel cycle.
At the Europaeum, where he is now chair of trustees, having previously served inter alia as the chair of its academic committee, he has led a major restructuring, including increasing the number of full member universities from eleven in 2016 to seventeen by 2024, raising the regular income by more than 70 per cent and launching a Europaeum Scholars' Programme.