It's not like this is some weird highly advanced stuff. Surely that's possible in the US as well?
[1]: http://en.wikipedia.org/wiki/Giropay [2]: http://en.wikipedia.org/wiki/Elektronisches_Lastschriftverfa...
On the other hand if someone malicious gets my credit card number they can use it to buy stuff and I have to go through a lot of trouble to get a new card.
With credit cards the liability is on the merchant that accepts the card to verify that the person presenting the card is authorized to use it. Card issuers will reverse charges and leave the merchant out the money in the event of fraud.
I'm probably less protected against fraud, but I haven't had a reason to worry yet.
The scary thing about debit cards is that when someone steals money with it, they're stealing your money. So if your account is drained and your rent is due tomorrow, you're in trouble. With credit cards, on the other hand, the thief steals the bank's money. Your money is safe the whole time.
It's also easier to track your spending on a debit card as you can check the remaining balance at any ATM rather than waiting for the bill or going online.
High fees for this stuff is the reason by so many banks changed their retail business model to things like Totally free checking(when you make 12 debit card purchases each month).