I'm from Aus, so not surprisingly these two suggestions are too.
Broadly speaking they are crime films/series, but there's a lot of dark/dry humour in both. It's quirky stuff that gives an insight into Australian sense of humour, I won't guarantee everyone would like it.
Movie - "Chopper" semi dramatised movie based on real life events of Melbourne (my home town) criminal, stand over man, and later on media darling Mark "chopper" Read. Some of the characters in it are combinations of a couple of people, one has their name changed because they were still around at the time of filming.
Series - no idea if anyone can get it overseas, probably available as a torrent - 3 seasons of it "Mr Inbetween"It takes a couple of episodes to get moving but you might like it. Its central character is a strip club bouncer who does anything from debt collection to murder for hire as a side gig. The role is played by the writer himself, after a low budget film (that has a bit of a cult following) he made well over ten years previously gained some interest overseas for making a series out of the idea, but died on the vine, later to be picked up by a local tv network and helped along by actor Joel Edgerton's brother Nash who came on board as producer or something like that. (the movie is also entertaining, called 'the magician' but there's a fair bit of local references in it and may not be as easily understood by people outside of Australia/New Zealand)
There's also a few Australian crime mini-series called 'underbelly' the first of which focuses on the underworld war that saw a number of people in Melbourne's criminal 'community' murdered around the very late 90s. It's fairly accurate on the police procedure side of things, but the portrayal of the criminals involved is close to complete bullshit. Most if not all of them were nothing at all like the way they were portrayed (and I'm not suggesting I was rubbing shoulders with all of them on a constant basis or anything like that, melbourne isn't that big, anyone working some of the more notorious nightclubs during that era would have known them to some extent, not as friends or anything) I honestly wouldn't recommend these series, though they did rate well on local tv at the time.