The most intriguing places to shop in Melbourne are the one-block arcades, such as the Block Arcade between Collins and Little Collins and the Royal Arcade between Little Collins and Bourke Street Mall.
Bourke Street Mall itself is a major pedestrianized shopping precinct with two department stores, David Jones and Myer, located there. The eastern end (which used to be called the Paris end) of Collins is a center for high fashion. The brand Country Road is known for its quality Australian designs.
Queen Victoria Market, off Elizabeth Street, a few blocks to the north end of the city's main street grid, is one of the largest pavilion-style markets of any major city in the world, replete with Australia's bountiful foods arranged in rows and rows of stalls, plus delis, quick eateries and clothing stalls. I would consider moving to central Melbourne to be able to shop here.
Melbourne Central, between Latrobe and Lonsdale Streets, is a modern multi-level complex of 300 shops, restaurants and a multiplex theater.
Popular buys in Melbourne include aboriginal art; paintings on paper, canvas and bark; sculpture; and musical instruments.
Where to Stay in Australia
Getting Around Australia
Sydney City Guide
Melbourne City Guide
Brisbane City Guide
Living Like a Local in Melbourne
25 Ways to Save on Australia Travel