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Jetstar credit card has an annual fee and, moreover, it is not available for US residents. If you want to find card without annual fee and earn miles, consider getting a travel rewards credit card. For example, it can be the Discover it® Miles card. It allows to earn 1.5 miles per dollar on all purchases. The miles you earn your first year, will be matched at the end of the year (provided you are a new cardmember). Earned miles can be redeemed as travel statement credits or as cash deposited to your account. When redeeming for travel statement credits, you can cover the cost of any airline ticket with miles. The card has no annual fee and no foreign transaction fees.