Here in the US (and most of Canada I believe) we kind of have the same thing. Technical associates & bachelors degrees seem very much like "Trade" degrees really, since they're generally designed for students who intend to enter the work force upon graduation in that particular field of study (nursing, paralegal, allied health, engineering tech, etc. are examples of this)
It's not really useful to compare US with Australian degrees as with very few exceptions all undergraduates here complete fully specialized degrees - they don't complete a generalized qualification before specializing. Nursing, for example, is a full degree qualification, with the same standing as law, arts or science.
As I said earlier, there's a fair bit of confusion and overlap, probably inevitably.