For limited credit (or no credit) there are plenty of options, for example Capital One Platinum card
or Barclaycard Rewards MasterCard®
If your credit is bad (below 600), we can recommend you the following unsecured credit cards
Greater access to credit than before - $700 credit limit
Get a Mastercard accepted online, in store and in app
Account history is reported to the three major credit bureaus in the U.S.
$0 liability for unauthorized use
Access your account online or from your mobile device 24/7
or a secured credit card from Capital One Bank