[tayser]

Southbank in Melbourne (note: Brisbane also has a SOuthbank!) has a height limit of 300mRL - Eureka is 297.3mRL.

I dont really know about height limits in Brisbane - it's probably more constrained (as it is nationally) on plot ratios and large sites are a rare commodity in Brisbane - this proposal's site is one of the largest in the CBD AFAIK.

Melbourne has pockets of height limits, but if any design displays "design excellence" the rules can be bent - theoretically if you propose a tower on a large site near enough to current towers, you shouldn't have a problem with height, with a few exceptions like near heritage areas.

Sydney's got a fairly strict height limit - but it differs in which parts of the city you're in - 235m to roof is the highest you can there. Adelaide is very strict as aircraft fly very close to the CBD when runway 23 is in use (which is the predominant usage at the airport) - 125-135m is the max.

Perth note sure.

But all in all, there's no national height limit - except for where it directly involves aircraft, it depends on the state and city as planning is in these two realms.