[8] He became the inaugural art critic of The Adelaide Review in 1985 and continues to write for it.
[9][10] He has curated exhibitions for the Adelaide Central School of Art,[11] Flinders University Art Museum,[12] Murray Bridge Regional Gallery,[13][14] and Carrick Hill.
[15] Neylon is an author who has written several books on Australian and South Australian artists including Robert Hannaford, Hans Heysen (co-authored with Jane Hylton), Greg Johns, Franz Kempf, Stephen Bowers (co-authored with Damon Moon) and Aldo Iacobelli, as well as contributing catalogue essays for many exhibitions.
[18][19] Neylon has been described as one of Adelaide's longest-established art critics[20] and as "penning well-considered, witty, vastly knowledgeable judgments on hundreds of exhibitions a year with sustained panache".
[22] In 2014, he was the inaugural winner of the Lorne Sculpture Biennale Scarlett Award for critical writing.