Off the top of my head, I can only remember CBA and Westpac removing fees for non-customers.
Which other banks have removed their fees? I'll try to update this as comments come through.
- CBA
- Westpac / St George
- ANZ
NAB
Bank of Melbourne
- BankSA
- Bankwest (but not the 7/11 ones)
Big 4 at least.
http://mobile.abc.net.au/news/2017-09-24/commonwealth-bank-a…