I'm a wine professional, living in Bangkok and travelling frequently throughout South East Asia. I'm a huge fan of Laos and Cambodia and off the beaten track travel. Feel free to contact me at: www.facebook.com/mil.elephants
I've started using a few different apps recently, and they can really make your life easier in Melbourne. Some of them are Melbourne specific and some are universal and useful in many places. The ones I gravitate towards are the ones that make things easier or more practical or the show me places and things I haven't experienced before. Here are the apps I'm using at the moment.
The National Gallery of Victoria has developed the Melbourne Now App, which has multiple functions and uses. If you're walking through the gallery, you can pull up detailed information about artists and paintings just by entering a number located near the artwork. You can browse exhibitions and artists and follow themed tours through the gallery.
Melbourne is pretty good for cycling. The roads are wide and traffic isn't too hectic most of the time, so the Spotcycle App is very usable and practical. It shows you the locations and numbers of bikes available on the Melbourne Bike Share Stations located around the city. It tells you how many bikes are available at each location and it also has a timer so you can make sure you return the bike on time.
PT (Public Transport) Victoria has an app which allows you to keep track of trains, buses and trams. You can set favourites for routes you take often and you can also set reminders for specific journeys so you don't miss your train home.
Yarra Trams has a similar App, which gives pretty accurate details on trams stop locations, as well as a live information on when your tram will arrive. It even tells you which type tram is arriving, so if you want to wait for a big elongated tram instead of a small cramped one, you can.
Finally the City Walks App is loaded with preplanned and interesting walks. It's searchable and customisable so that you can add and edit your own walks. It gives you a summary of the length of the walk as well as photos, details of the stops along the way and you can even add your own photos to each walk.