Australia Has No True Rainforests — They're in Southeast Asia

Strictly speaking, Australia does not possess tropical rainforests on its mainland. The continent's climate is predominantly arid to temperate.

However, tropical rainforests exist just north of Australia in the Australasian realm:

• Papua New Guinea (shares landmass on Sahul Shelf) — vast intact rainforests.
• Indonesia (Papua, Maluku, Sulawesi, Sumatra, Borneo) — megadiverse.
• Malaysia, Brunei, Philippines, Solomon Islands, Vanuatu, New Caledonia.

Australia's wettest forests are subtropical/temperate rainforests in:

• Gondwana Rainforests (NSW/QLD border) — World Heritage, Antarctic beech, ancient lineages.
• Wet Tropics of Queensland (Daintree, Cape Tribulation) — This IS tropical rainforest (1,200 km², oldest on Earth, 180M years). Correction: Far North Queensland does have true tropical rainforest (Daintree).
• Tasmania's Tarkine / cool temperate rainforest (myrtle beech, leatherwood).

So: Mainland Australia has tropical rainforest only in Far North Queensland (Wet Tropics). The vast majority of the continent is dry. The statement "Australia has no rainforest" is false for Queensland; true for the continent as a whole in global area terms.