Here's a list I made for a friend a few years ago that should keep you occupied for a while (the notes are to her but they're still mostly relevant)
I've added a few at the end that have come out since I made this too. As a general rule, if it involves Claudia Karvan, Wayne Blair, Asher Keddie, Deborah Mailman, Guy Pearce, Kate Box, Celia Pacquola, or Rob Sitch, you’re probably in for a good time.
Quirky
Rosehaven (has to be downloaded but Celia Pacquola is a queen!)
Offspring
Get Krack!n (another one that has to be downloaded, but it’s one of those rare shows that gets better with every episode. Only 2 seasons, and the last episode of season 2 is
brilliant)
Utopia (download only; as a government worker, you’ll love this
) <-- I can't recommend this one to anyone enough)
Rake (goes off the rails in later seasons but earlier seasons are some of my favourite comedy TV)
Sisters
The Letdown
Wanted (could put this under either category, it’s a fun drama)
Drama
Redfern Now (download only; quite possibly the best TV Australia has ever produced. There’s a follow-up movie that’s also fabulous, but TW, it’s about rape)
Stateless
The Hunting (download only, but if you see Rake and Offspring first, it’s fabulous to see those two leads play serious roles really bloody well!)
Total Control (download only)
The Principal
Secret City
Pine Gap
The Code
Wentworth (probably best to tap out at the end of season 6 at the latest, possibly even 5)
Cleverman I’m putting this one in a class of its own because it’s absolutely not everyone’s cup of tea but you might enjoy it – it’s kind of dystopian future mixed with Aboriginal Dreamtime storytelling – give it one episode and you’ll know if you like it or not
Total Control
Mystery Road
The Newsreader @Rob MacLennan you'll probably wanna check this out given the lead
Five Bedrooms