Discover the City and its Laneways: Melbourne the city itself is, undisputedly, the main attraction, and whether by bike, by bus or by foot, exploring the city is an absolute must. Filled with quirky alley ways, hidden shops, art galleries and indie theatres, it certainly earns its reputation as Australia's culture capital.
See the Wildlife at a Zoo or Aquarium: Melbourne offers an array of high-level wildlife attractions of various kinds, covering all the best local Aussie animals as well as exotic species from abroad. The city is rich in both zoos and aquariums, both of which are generally quite reasonably priced.
Experience the Great Ocean Road: Often acclaimed as the most stunning drive in Australia - and one of the best in the world. One of Australia's most scenic vantage points. The sheer array of vistas and views on offer with a trip along the Great Ocean Road is staggering - enough that it's been nominated as one of the Most Beautiful Places in Australia.
Travel to Phillip Island: One of the most popular natural destinations that's outside Melbourne. With a trip to Phillip Island, you'll be able to watch thousands of Little Penguins make their way to shore every night at the home of the world's largest Little Penguin colony.
Source: http://www.onlymelbourne.com.au/