Unlike some Aussie states, you can't do a u-turn at a traffic light.
Always give way to the right.
Do heed speed limits, and keep your eyes open because they change regularly. There *are* speed cameras around and speeding fines are quite stiff. If you see oncoming cars flash their lights at you, they're usually warning you that there's a speed camera ahead.
You can turn right at traffic lights if the arrow light is green (obviously), but also if main light is green while the 'arrow' light next to it is blank, or if the main traffic light is green but there's no arrow - in those cases, drive out into the intersection ready to turn as soon as there's a break in traffic.
Annoyingly, buses have the right of way. This means that if a bus in front of you is indicating to pull out onto the road, you have to stop (if safe), or change lanes to get out of its way, otherwise they *will* swerve into you!
Be aware that as of a couple of years ago, the default speed limit is 50. Main, 'arterial' roads are 60, but all side-streets and all streets in the CBD are 50. 50 zones usually aren't specifically marked as such, so you have to assume that unless there's a sign telling you otherwise, you should do 50 - sometimes what looks like a main/arterial road, isn't 60!
In some countries, you can drive dangerously, swerving into oncoming traffic and swapping lanes without warning, and everyone will react accordingly because they expect people to drive like that and are on their guard. In Adelaide, if you drive like that, you will crash! Indicate, and leave enough space for other cars!

