Just click on Release Archive tab. Here are listed all the version of Magento including 1.9.3
I found only this "ver 220.127.116.11 - Added Nov 24, 2014"
it is under the heading 'Downloader - 1.x' and the comment
'The downloader will install the latest available Magento 1.x version.'
hopefully this will take me to version 1.9.3
I'm doing a manual install ( not using Magento connect) will this still get me to 1.9.3 do you think?
Kindly look for ver 18.104.22.168 - Added Feb 7, 2017 it is under ver 1.9.x heading first one.
I found it with a text search on the page.
That is a very strangely organised page.