In Australia, the big difference between domestic and international students is that domestic students costs are subsidized by the government via a federal interest-free student loan scheme, whereas international students must pay each semester up front. That cost varies depending on what you’re studying. (Every university should have info on their website about international student fees.)
The other limiting thing is that on a student visa, you aren’t allowed to work more than 20hr/week during the semester. So you either need to arrive with a very healthy bank account or put a lot aside during summer and winter break, in order to cover cost of living in addition to tuition. I was only able to do it because my parents were covering my tuition and accommodation.
(A possible point of interest: my bachelor’s degree as a full fee paying international student in Australia ended up being cheaper than my sister’s degree from a private college in the USA. Go figure!)