All United credit cards have an annual fee. If you need a credit card without an annual fee, you can apply for a regular credit card with travel rewards. Such a card will allow you to earn miles and redeem them with any airline. For example, you may like the Discover it Miles credit card. The card has no annual fees and using this card you will earn 1.5 miles on all purchases. Earned miles can be redeemed for any airline ticket.