Australia, Melbourne

Some accommodation offer a free ride from the airport. If not there is a convenient airport bus called Skybus.
There is a free tram around the center of the city that runs from 10am to 6pm with tourist information and is an easy way to get around for free.
Take tram No. 16 to St. Kilda and have a look around at Melbournes faded seaside resort. Have lunch at Zalads on Blessington Street. Really tasty make your own salads.
Eat the Moroccan Soup Kitchen in Fitzroy
You can get a combo ticket for the Melbourne museum and the IMAX which works out much cheaper than a ticket for both.
Do a day or more trip to the Great Ocean Road. We booked ours through our accommodation, but the tour wao with Otway Discovery for $65 and had a fantastic guide, Jimmy. They offer a hop on hop off trip for a bit more so you take take a few days to do this trip but we on;y had time for a day.