What kind of domain name can I get in the .au domain name space?

The .au domain space is divided into a number of second level domains (2LDs).

It is not possible to licence a domain name directly under .au.

So, rather than being able to licence 'yourname.au', registrants must licence their name in a 2LD.
eg. 'yourname.com.au' or 'yourname.id.au'

For more information click here.