There are three reasons why I use my credit card so much (in order of importance to me):
1: It makes my finances much, much easier to manage. If I were using a debit card, I would have to track every transaction to the penny throughout the month in order to avoid overdrafts. Instead, I just keep a rough mental tally of my expenditures to make sure that I'm not living beyond my means. If my spending happens to get front-loaded on any particular month, no big deal: I've got another paycheck coming before the bill is due at the end of the month. With a debit card, I would have to manage my spending by pay period (twice a month) rather than billing cycle (once a month). Also, if I did happen to spend a little bit too much by accident, I'm looking at a few dollars (possibly even just a few cents) in finance charges, as opposed to a $20+ overdraft fee on every subsequent transaction.
2: I have a rewards credit card, so everything I buy gets me points. If you aren't using a rewards credit card, you're helping to pay for my rewards: the credit card companies generally charge the merchants higher transaction fees for purchases made with rewards cards (otherwise they would lose money on people like me who don't carry a balance). Merchants pass those costs on to customers by raising prices slightly. If you're not using a rewards card, you're paying those higher prices without reaping the benefits. Some merchants charge lower prices for cash, in which case I will usually pay cash because the savings are worth more than the points.
3: Because I pay my balance in full each month, I'm getting an interest-free loan from my bank each month. That money sits in my bank account accruing interest for anywhere from 1 to 30 days (depending on when I make the purchase). With interest rates as low as they currently are, I'm only making a few cents each month this way, but that's still money I wouldn't otherwise have.
How many of these reasons would also apply in Europe? I know that #1 does, but what about #2 and #3? There are plenty of reasons for not using credit cards, which I didn't really get into, but are there reasons that apply in Europe which don't apply in the US?