Bank account and credit card package

Hi, I am very happy with my current bank account (HSBC prem) and have an amex platinum every day card which seems to be the best cash back card. I was wandering if anyone knew of a bank account I could put say 1k in a month with an associated credit card that would give me any better cash back and be able to be used in more places as amex isn't accepted in many places. I don't like fees for accounts or cards and if the reward was less than amex the spend wouldn't be that much so the fees probably would make it unjustifiable. Any help very appreciated!
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