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I have not been able to get a Chase card but I know people who have recent BK's that got the Chase Amazon and Circuit City CC''s.
My luck for being a beginner not a burner.
It seems the regular Platinum card (MC or Visa) is the easiest to get. I got my Platinum Visa with high 500's, however a limit of $300. A year later I got a CLI to 1K. Interest rate sucks, but I just converted it to a rewards card.