Just click on Release Archive tab. Here are listed all the version of Magento including 1.9.3
I found only this "ver 126.96.36.199 - 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
Kindly look for ver 188.8.131.52 - Added Feb 7, 2017 it is under ver 1.9.x heading first one.