We have about 1 week (9 days) time to explore the area next to Sydney and we don't know which direction we should go. We have a rental car. Should we go north (the maximum we can drive is to Fraser Island), south (the coast to Melbourne) or should we do the National Parks around the city? It is our first time in Australia, we don't have kids that need to keep happy :-). We just want to see a lot of stuff, because we are not able to be at the beach for hours. For exploring the city we have enough time since we are here for a business trip the week before.
Hope you have a lot of suggestions!