ANU isn't discussed much on these forums because they don't accept very many international students. Also, most of us don't want to move halfway across the world just so that we can live in a place like Canberra. That said, ANU generally seems to have the reputation of being "Australia's #1 university" overall. Nobody has any gold-standard rankings, mostly because none of the public universities really stand out as being clearly superior to the others... but if any place has a slight edge in terms of local reputation, it's ANU.
As far as the program itself, UQ is an unfair comparison... as has been discussed in several threads before, lots of people think that UQ's quality is slipping (for a wide variety of reasons). Also, you should know that most Australians make their university choices based primarily on proximity rather than the perceived quality of any given program, so it's really hard for international students to make an objective comparison.
ANU might have a slightly better reputation in Australia, but that's debatable. The reason I chose USyd was because, since most of the schools seemed fairly similar in terms of quality, I made the decision based primarily on the city in which I'd have to spend 4 years. Sydney > Brisbane > Canberra (of course, that might change depending on how much money you plan to borrow... Sydney is the most expensive city in Australia).