One of my SIL's closest friends adopted two children from Korea due to the incredibly long waiting lists in Aus - they were basically told their chances of adopting a newborn or very young child were pretty close to nothing. That was 10 years and 8 ago now though so I have no recent information about wait times etc.

Not sure if adopting a child from overseas is something you would be interested in, but they certainly found the process a lot easier than an Australian baby, and they now have a beautiful family.