Anatidaev,
I don't have any advice for this past financial year, but for the coming year, there are plenty of things to put into place now to reduce your tax bill next year.
1. Start salary sacrificing to your superannuation. Anything up to $25K (including employer contributions) will reduce your tax bill directly. Note that you HECS is taken from your gross pay, not your taxable pay, so you will need to keep extra aside for the small difference in HECS you will owe.
2. If you work offers it, you can salaray sacrifice other items to reduce your tax. Government jobs often offer up to 9K per year for things like rent, electricity etc... All work places are different, but know what you can access, and start the ball rollling early.
3. Start a folder for work related expenses. Things like your use of a phone for work (must be documented), so get your bills filed each month so you can highlight work related stuff. Car expenses depending on whether you have to drive from site to site once at work (too and from work don't count, but travelling whilst on the clock for work purposes does count). Again you will need a log book (free from most accountants).
4. Document all donations. These are tax deductable, and whilst it shouldn't be the reason you donate, it is nice to know the government at least supports this and gives you a tax break on anything you do donate.
These are probably things you already knew, but just thought they were worth mentioning.
Cheers
Murdoch