The US equivalent is ACH, which has the major downside that using only the bank ID (routing number) and account number you can effectively wipe out the target's account. It's up to your bank (or whatever ACH proxy) to keep you from doing that, not to the interchange, both legally and technically. ACH also takes several days to work, and has a wide window for either bank to declare the transfer fraudulent, so many banks stretch the time out longer to account for that. Most stock brokers will credit your account long before the ACH transaction completes (with some restrictions of course).

There are also wrappers around this here like Chase's Quickpay or Ally's Popmoney but most require that both people use the same bank, or that you give your ACH details to a bank that isn't your own.

Paper cheques just have the routing/account numbers along the bottom, and AFAIK essentially work via ACH anyway, so they have all of the same downsides, plus taking longer to complete.

Also, the window for fraud with ACH is so great that when you tell one bank about another account's ACH details so that you can transfer money, they "authenticate" this by making small, sub-$1 deposit amounts, and asking you what the amounts were, to prove that you can see the target account. So this "linking" process takes the entire ACH transaction time as well the first time you do it. Some banks have taken to using a service called Yodlee which asks you for the target accounts' username and password. That's right, Wells Fargo asks for your username and password on Scottrade to authenticate the transfer because they don't trust the way ACH's liability lies. So this won't work to send $8 to your buddy anyway.

Moving money without a service like paypal/venmo/square/google wallet is really quite difficult, especially if you don't want to trust an organisation with a history of taking people's money (Paypal) or if you don't want to pay a transaction fee.