In Australia, the equivalent is EFT (Electronic Funds Transfer). You can deposit money to anyone's account by telling the bank their BSB (Bank/State/Branch number) and their account number; however this is not sufficient information to withdraw money.
To withdraw money: 1. at a physical bank branch: a. you put your credit/debit card in a POS terminal and enter your pin/sign to authenticate. b. provide yous credit/debit card and photo ID to the teller. 2. at an ATM: credit/debit card + pin number. 3. online banking: either the credit/debit card number and a password and often a pin as well, or a separate number and password.
All of these use an independent authentication source to the bank account number.
Also the delays quotes here are insane: In Australia, there are essentially 2 ways to pay for something (excluding cash): 1. EFT (Electronic Funds Transfer) 2. Credit card (possibly using a debit card) transaction.
On POS terminals, you can choose either; the differentiator being whether you want to use a savings account (EFT) which goes via your bank, or a credit (or savings account accessed via debit card) account, which goes via MasterCard/Visa.
All forms of EFT take 1-2 business days between banks, pretty much all the time; and they're universally free for the payer.
Credit/debit transactions seem to take 1 day universally.
We have a fairly stagnant banking system, with 4 major banks having basically the entire consumer market (and the vast majority of the nonconsumer market as well). Why, in a small, stagnant market like ours, do we fare much better than the US system?
[edit: I forgot to mention, checks are dead here, they're now almost only used for large transfers of money where: 1. you don't want to use EFT; 2. they're over the daily online maximum for EFT transfers, and you can't be bothered to go to a bank branch (although you can only get bank checks at a branch AFAIK); 3. You want an immediate guarantee that the ammount was paid and the date/time/payer/payee (as opposed to waiting 1 day for the payment to come through).]