It varies by country, and by what companies offer to different consumers. I'm not an expert in this area, but a few examples I know of:
- In the UK, Visa/Mastercard are the most common networks used for bank debit cards, using them pulls money from your bank account directly. Most banks give most adults (citation needed, but I think) a debit card by default with an account.
- In the UK, you can apply for credit cards from a number of companies, including banks (but it's a seperate to any bank account you might have with them), and credit card only companies. Different providers offer different types of cards, and the kind of deal you can get will depend on your credit history, salary, etc. They will (nearly always) have a credit limit, which could be a few hundred or could be very large. They will have a specific rule about minimum payments - some might want your balance paid in full each month, others will ask for a minimum payment (which could be a tiny percent of the amount owed) each month. If you pay in full, you don't get charged interest. If you take longer to pay, but within the agreed terms, you'll pay some sort of interest, which could be reasonable or extremely expensive depending on the card you have. Some cards offer benefits (points or cashback, maybe other perks like special deals, concierge services, etc.) while some are purely lines of credit with no other benefits.
- In France, I was given a Visa debit card when opening a standard bank account. No experience with French credit cards.
- In Belgium, if you want a card on the Visa/Mastercard networks, you need to get a credit card - most people use debit cards which use different networks (I think they use Maestro and another one..)