Can I organize a long-term visa for myself as an Australian citizen married to a Thai woman while living in Australia?

Anthony van der Craats Yes, a few steps to go through back in Australia if that is the case. This is the process for the UK so the steps should be similar with the same ending -

1. IN THE UK: Marriage certificate legalised by the FCDO in Milton Keynes (2 documents, original and legalised copy))

2. IN THE UK: Marriage Certificate AND the Apostille from the FCDO Translated (2 translations from 1., now 4 documents in total)

3. IN THE UK: Marriage Certificate AND the Apostille from the FCDO AND their translations verified by the Thai Embassy in London (4 verifications from 1. and 2. giving 8 documents in total)

4. IN THAILAND: All the above (i.e. all 4 documents & their translations, making 8 in total) Legalised by MFA in Bangkok

then register your marriage at your local Amphur.

Milo Worapon i read the post and he says she has a visa for her to live in Australia.