I had spent three months in Melbourne as an expat, working in Docklands. The Eva apartment is absolutely perfect for expats, but obviously it offers so much more.
The views from level 38 over western Melbourne are fantastic, I never got enough of the amazing sunsets (even after three months). Also the apartment has everything you need (kitchen, washing machine, dryer, iron, dishwasher etc.), so does the building (gym, pool, boulder area, bbq area). It's located right next to Southern Cross station, it's very easy to get to the airport with the SkyBus and even easier to go to anywhere else in the city! The free tram zone is a big plus, but you could also walk to almost any other hot spot in the CBD.
If you are looking for a long term stay or just for place to stay over the weekend, Linton's apartment is definitely worth thinking about, as long as you aren't scared of heights. Because even the bedroom offers floor-to-ceiling windows and breathtaking views :-)