Courtesy of a number of individuals, including Isaac Koi in the UK; Andrew Arnold in Melbourne, and Michael Swords in the USA; along with my own resources, I have been able to bring together a digital collection of 21 issues of the Australian Flying Saucer Review (AFSR.) These 21 issues cover the period December 1959 to December 1972.
Eras of the AFSR
There are four distinct eras of the AFSR as far as I can determine.
Era 1. Initially the magazine was produced by a collaboration of two civilian UFO groups; namely the Victorian Flying Saucer Research Society (VFSRS) and the Unidentified Flying Objects Investigation Centre. (UFOIC.)
The second issue, volume 1 number 2 came out in April 1960.
Era 2. From volume 1 number 3, dated September 1960, the AFSR became the publication for not only the VFSRS and UFOIC, but also for the Queensland Flying Saucer Research Bureau (QFSRB.) The three co-editors were Peter E Norris; Andrew P Tomas and Carl Lechman of the QFSRB, and was published under the name of the "UFO Association of Australia." This issue reported upon the July 1957 Katoomba, NSW events which were spread over several nights and involved investigations by the RAAF.
Era 3. The AFSR then became a publication issued by the VFSRS; and then when the VFSRS changed its name to the Victorian UFO Research Society (VUFORS), by that organisation.
Issue 1 of the new AFSR emerged in May 1964. ; issue 2 in October 1964; issue 3 in May 1965; issue 4 in December 1965; issue 6 in December 1966; issue 7 in December 1967 and finally, issue 8 in October 1968.
I would be pleased to hear from anyone who may have issues which I do not.
Update as at 4 August 2016
I am working on producing an MS Word table of an index to the known copies of AFSR. I now believe there were 23 issues in total.