Gaming-wise we're dead. You can have a look at Teh Tin Soldier and Games Paradise, but I hear Melbourne is better for shopping, so you probably won't be impressed.
Our harbour is rivalled in beauty only by Vancouver's, so you should have a look at it - I recommend a harbour cruise or even ride the ferries a bit.
If you want, you can come to Coogee for a drink. We've got a beach and half the population of London living there. Of course, if you're wierd-looking we won't be going out in public together, but that's cool - we could always drink at my place, where you could ogle my flatmate Jessica.