Bag snatching / Pickpockets etc, Sydney
Sydney is a real safe city on world standards. There are incidences of pickpockets (like everywhere) or bag snatching but violence against people is fairly rare. I never felt unsafe walking around the city...
For me, the most dangerous activity was driving on the left side of the streets ;-)
Unfortunately, like all capital cities, Sydney has thieves so be careful to keep your belongings safe. Do not leave valuables unattended even for a moment.