Oh dear. Now I'm panicking. I've got a Boston Terrier and a Boxer. This hadn't even entered my head and I assumed that they would be okay to travel to Australia. I'm more concerned about my Boston. I will be keeping an eye on this thread to see what experiences people have had with taking brachycephalic breeds to Australia.
I know a lady who is involved with the French bulldog association of Great Britain and a breeder took her frenchies with her when she migrated to Australia. (I think, I will find out)