My question is:
Is there any crypto to fiat exchange (no matter new/old, trusted/ or not, regulated/ unregulated and etc.) or market which accepts bank card payments and doesn’t require ID verification?
An exchange site that accepts bank card payments that I don't know of, but for an exchange site that doesn’t require ID verification, you can try Binance. So far I have been using their site for quite sometime now and they have not required me to send them a copy of my id's. With a lot of fraudsters around, I don't think there is an exchange site that accepts bank card payment and ID's not required. They also have to protect their business.