Should you be visiting as a holiday for less than 3 months, then you should apply for a 'Short Stay ETA Tourist Visa', however, should you intend to stay on any longer than this, you must apply for a 'Long Stay ETA Tourist Visa'. This allows staying for 6 to 12 months as a tourist, but the Australian authorities may request that you provide proof of funds to support your trip.
Alternatively, if you are between the ages of 18 and 30, then it is possible for you to apply for a 'Working Holiday Visa', which gives you the chance to visit Australia for up to a year, and work to support your trip. However, this is clearly aimed at Gap-year students, so may not be perfect for you, although this clearly depends entirely on the nature of your visit.
If you wish to visit Australia for business purposes, then your only option is a 'Short Stay ETA business Visa'. This allows you to stay for up to 3 months in Australia for business purposes. If you are still unsure as to which visa to apply for, then I recommend visiting the Australian visa Bureau's own 'visa advisor' at visabureau.com/Australian/Australianvisatravelwizard for further information. "