Edwards was made a Fellow of the Australian Institute of International Affairs in 2009. The following year he co-authored with Wendy Hillman A School with a View, a centenary history of his former high school, Christ Church Grammar. He has been an Honorary Professor at Deakin University since 2012 (a position he previously held from 1999 to 2005) and at the ANU since 2014. He is a previous contributing editor of the Australian Journal of International Affairs (2002–2008), and was a trustee of the Shrine of Remembrance from 2002 to 2009.
