From 27 October 2008 eligible passport holders from the EU and other European ETA eligible countries are able to apply for an eVisitor. eVisitor is for travellers seeking to visit Australia for business or tourism purposes for up to three months.
The Internet ETA application will no longer be available to eligible European passport holders, however access will not change through travel agents and airlines.
See:
About eVisitor
Frequently Asked Questions for clients (153KB PDF file)