The three credit agencies in Australia (Experion, Equifax and Illion) allow you to see your reports, which shows all activity, including enquiries on your credit file. There are even third party websites that let you look at two (Experion and Equifax) on the one site. They also give you your individual credit score. You can even setup notifications if there is activity on your file.
I would suggest that everyone signs up to them, it will tell you within a few days after someone has tried to obtain any kind of credit in your name. Ironically my Optus account has always showed up on one of them, as a mobile phone plan is considered some sort of credit.
And Optus pays for it?