QLDers are sports crazy so you should consider going see a game of something. Cricket is the main sport at the moment and the football (soccer) professional club comp also going on, but in the next two months Rugby Union. Rugby League, and AFL (the main three football codes) professional club seasons will start. You probably wouldn't want to go on your own, not for safety so much as it is always more fun to go with someone who knows the game and is a fan.
Oh, and it is Australian law that if you are staying for over a month you must come to love Vegemite.