Another option, for Canadians anyhow, is RBC bank. Since I was a long-term client of RBC in Canada, they had no trouble giving me a bank account, check card, credit card, and line of credit as soon as I walked into the local bank! They just called some number to verify my association with RB Canada, and were more than happy to hook me up down here! I think the credit card started with a 2000. limit, but now it's up to 7500. Baaaaad..... baaaaaaaddd ..... must not shop.....
Not sure if there are other international banks that have affiliations with US counterparts, but might be worth checking out.
And I agree with Capital One..... easy to get, not so easy to get rid of!!! Even when I called to cancel the card, the person said "OK, we can do that for you" followed by "We'd like to offer you a new credit card.... " You've got to be kidding???! I think I got a little terse with the guy on the phone. They are relentless.