I think you'll find not many are in the team for just one reason. Indeed it is a key difference between Australia and India. Great fielders make the Australian side and tend to stay there. Hayden is hard to fault at first slip, Symonds generally haunts point like a possessed terrier and if it beats him, then there is often Clarke placed backward of point because his bullet left arm gives him a great shy at either stump. Then you have Ponting who is a livewire and Hussey is a man of few mistakes, probably as good as anyone playing for the opposition. Hogg is always notably energetic and a high quality infielder. Lee is a superb outfielder and each of the pacemen contribute with powerful, accurate throwing, preventing many 3s or 2s.
Qualms about fielding skill are quite often the reason why a player can't make it. Jaques was an example, particularly for his throwing which was stilted by a minor shoulder injury (Shaun Tait found a similar problem). Nevertheless, it spurned him to work at specialising and he has made himself a valuable close catcher, a difficult role for which few senior players will put their hand up.
Outside the team, Brad Hodge is quite an acrobat, Katich recently pulled off an outstanding sliding run out and Adam Voges is another who surely curries favour by offering more than just a place to hang a bat.