They are among eight new fellows recently announced and honoured for "distinguished achievement" in humanities.
Prof Barsby is writing a history of the Otago University classics department, which he headed from 1978 to 2002, introducing beginners Latin and an honours programme.
He had also helped introduce the idea of non-linguistic classical studies to both secondary and tertiary education in this country, broadening the appeal of classical studies to include the history, art, religion, theatre and politics of Greek and Roman civilisations.
He had recorded studio and live solo performances and been the pianist of choice for the Mobil and Lexus Song Quests, and several international contests, including the Michael Hill International Violin Competition.
Prof Higham, of the Otago anthropology department, was a "world specialist in the archaeology of mainland Southeast Asia", the citation said.
He was a widely-revered archaeologist who had written several standard texts, including The Civilisation of Angkor (2001) and Early Cultures of Mainland Southeast Asia (2002).
He was also a fellow of several learned bodies, including the Society of Antiquaries, the British Academy and the Royal Society of New Zealand.
• Prof Witi Ihimaera Smiler, an award-winning novelist and former Robert Burns Fellow at Otago University, has also gained an academy fellowship.