I see a mix of card tapping and phone tapping here. I myself only use my card when my phone is out of battery or when the amount to pay is larger than the bank allows by default (though I'm pretty sure you can raise that).
It was pretty weird seeing Apple users around me get excited about finally being able to pay with their phones when the first bank here started offering Apple Pay. I guess they never noticed that every other brand of smartphone had been doing that for give years at that point?
As for the public transit system, the stupid mess of checking in and out at varioustterminals still exists, but they are indeed working on using bank cards for public transit. They're of limited use though (no ability to store discounts and such) and not all transit companies accept them yet. I'm not sure what the situation is with credit cards, as the Netherlands is very much debit card oriented. The cards follow the same standards, but as any American trying to do groceries here will find out, that doesn't mean all cards will work on all terminals.