we dont in spain, we call it "tarjeta de debito" and "tarjeta de credito" or just "la tarjeta" or the card.

And in Italy many people say Bancomat when they want to pay with the card even if they don't have a card with that circuit anymore.

It used to be the "blue card" in France (Carte Bleu)

That network still exists, and can now even be used preferentially over Visa/MasterCard, in particular when paying online.