If I remember correctly, back when ATMs were first introduced, banks issued cards that could only be used at ATMs—they were neither credit cards nor debit cards as we now know them, and you couldn't use them to purchase stuff. Somewhere along the line we got converted to a combined credit/ATM card or debit/ATM card (I have one of each) that also says VISA on it, but I don't remember how or when that happened. I don't even know if the old kind of ATM card still exists.

It seems to me it should exist. It would be a good thing for kids who can't be trusted with credit but who still have some cash in the bank—or for people with such a bad credit rating that they don't qualify for credit cards.