You may not be liable for those from the issuer's side, but if you are unlucky enough that the stolen info was used to clone a card that was used for recurring charges, you might have a hell of a time to get this clean up, not from the bank, but from the merchant where the cloned card was used for recurring charge - you could be subject to collection until you went the length to file a police report of the card breach.

A friend's card info was stolen last year. The cloned card was used to pay TIVO subscription among other fraudulent charges. Of course the bank took care of the fraudulent charges and replacement card was issued. BUT TIVO ignored the report that the card they had in file for paying subscription was a stolen card, and the account when not paid (as the cloned card was canceled) was sent to collection - guess who was harassed by the collection agency? My unlucky friend was getting threatening calls for 3 months no matter how many times he tried to get TIVO to understand what had happened. It finally took a police report to stop all this ordeal.