It's a big question. Here are my comments, and other people may want to add something.
First of all it is great that Christians around the world are recognising that "church planting" is the key mission strategy. Sometimes the term is used for ministry that is just shuffling Christians between services, but when it is done well it should involve setting up congregations which are Christian communities and part of communities which are not touched by the gospel. These may be defined by geography or some other social grouping. The day of the mass rally or the individual rally being the key to mission is over (I think). Church planting is truer to the New Testament gospel, which creates communities in which non-Christians encounter the word proclaimed and lived.
Emerging church is a growing trend in the US. It is a movement which makes sense against the backdrop of US evangelicalism. It is marked by a desire to question both church practice of the baby-boomer mega-churches and traditional evangelical doctrine. It includes people who are radically questioning traditional doctrine, and people who are more interested in changing ministry models. Scot Mcknight, who is a theologian in the emerging movement has explained his take in an article in Christianity Today. There was an interesting discussion among some of the 'insiders' at the AAR conference last year. Mark Driscoll was part of the movement in the very early years, but has become a strident critic as he explained at Southeastern Baptist Theological Seminary last year. There was an interesting conference at Westminster Seminary in 2006 and we have the CDs of that at PTC. There is an Australian 'version' of Emerging church, which as a different feel to the US.
Acts 29 is related to Mark Driscoll and his Mars Hill Church in Seattle.
I haven't come across "organic church". I see some links to it on google, but I'm not sure where you have got the term from.
What do you focus on? I think we need to focus on how we help churches in Australia to communicate and live the gospel in our society. We need to look at new ways of 'doing church' and our ministry models, but not get excited by the novel just because it is novel. I know some of the Queensland Presbyterians are planning to get church planting material from Tim Keller at Redeemer Church in New York. I'm sure that will have some interesting things for us.
There are plenty of Australians thinking about planting and you might be interested in a conference Plan to Plant in Sydney in July. I can email you the details since there dosen't seem to be a website at all. NCLS did some research on Australian church planting in 2003.