One option to consider is commsec's Commonwealth Direct Investment Account (CDIA) which can be linked to your commsec or other broker account I suppose.
They have cheque book and ATM access. Monthly fees are ZERO if you choose the maximum 15 electronic transfers option but then any over the counter teller transactions incur a fee. If you do more than 15 electronic tranfers from your CDIA in a month the fees are minimal.
CDIA does have a min. $5k balance to attract interest on the account though, but you can get around this by also opening up an internet only account like ING Direct which has
ZERO fees also with no minimum balance and link this account to your CDIA account. ING Direct pay 5.85% pa.
But beware, although most transactions go to/from your ING account to its linked account (CDIA) overnight, they say to allow up to 3 days so be careful with T+3 settlements.
Good luck