In what area of history? This is the key question, because sub-fields of history differ considerably, and a university strong in one field may not be well-regarded in another.

My second question would be, what level of degree? This makes a difference too, because the questions you ask about institutions as a PhD student differ from those an undergrad is concerned with.

Lastly, what do you hope to do with it?

I say this as a graduate of an Australian university in history, so hopefully if you can expand a little on my questions, I can give you more insight from my perspective.