The Costco Anywhere Visa from Citi comes with no annual fee and has no foreign transaction fees. It offers 4% cash back on Gas (and EV charging for the first $7,000 per year (then 1%)) and 1% on all other purchases. New cardholders can earn No annual fee with your paid Costco membership. Earn 2% on all purchases from Costco and Costco.com. Earn 4% cash back on eligible gas (5% at Costco) and EV charging purchases for the first $7,000 per year.