Visitors

Note: If you intend to visit for medical treatment or to transit through Australia, you should not apply for a Visitor visa.
See:
Medical Treatment
Transiting through Australia

Electronic Travel Authority (ETA)

The ETA allows people to visit Australia for short term tourism or business purposes of up to three months. There is an AUD20 service fee only for an online application for each ETA applicant. An ETA is available to passport holders from over 30 countries, regions and locations.
See:
ETA (Visitor) Eligibility
ETA (Business Entrant) Eligibility

To apply for an ETA you must be outside Australia.
See: Electronic Travel Authority (ETA) Online Applications

eVisitor

The eVisitor allows visitors to travel to Australia for short term business or tourism purposes for up to three months. eVisitor applications are free and are available to passport holders from the European Union and a number of other European countries.
See: eVisitor Eligibility

To apply for an eVisitor you must be outside Australia.
See: eVisitor Online Applications

e676 Tourist Visa

The e676 Tourist visa allows people to visit Australia for holiday, sightseeing, social or recreational reasons, to visit relatives, friends or for other short-term non-work purpose. Tourist visas are available for a stay of three, six or 12 months. To apply for an e676 Tourist visa you must hold an eligible passport.
See: Eligible passports for online applications

To apply for an e676 Tourist visa you must be outside Australia.
See: Tourist (e676) Visa Online Applications

Extending your stay in Australia

If you are already in Australia and hold a valid ETA (Visitor) (subclass 976), an eVisitor (subclass 651), e676 Tourist Visa, or a paper lodged tourist visa (subclass 676) granted for a stay of three months or less you can extend your stay in Australia to a maximum of six months.
See: Tourist (e676) Visa Online Applications