So, I'm in the market for a bass. Preferably a Squier, but anyway: I have 300 dollars, and I want to get something good. What do I get?
Well, Ibanez is in the same league as Squier, and is probably more easily found in Australia. Lots of people like Ibanez for their decent quality & sound, and they are noted for their thin necks (for those people who prefer thin to thick).

Here's one in your country that is on sale for 260 AU dollars, available in either black or red. Wouldn't be a bad choice for you I think, although I suspect it is by no means your only choice:

Fender Precision Bass
Fender Jazz Bass
1967 Fender Coronado Bass II
Warwick Star Bass
Squier Precision Bass TB