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There is, indeed, a Costco Anywhere Visa® Card by Citi (Citi is a Credit-Land.com advertising partner). The card offers good rewards on purchases. Being more specific, you will earn 4% cash back on eligible gas for the first $7,000 per year and then 1% thereafter, 3% cash back on restaurants and eligible travel purchases, 2% cash back on Costco purchases, and 1% everywhere else. All cash back you earn can be redeemed for purchases at Costco. You won't be able to use cash back you've earned anywhere else. This card is worth when you do most of your shopping at Costco. If not, you may want to apply for a different credit card.