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You do not tell us the reason you want to cancel your Phillips 66 card but we guess you do not want your new card to be offered by a gas station. Therefore, we recommend you to look at regular credit cards we offer. There are credit cards that offer gas rewards and cards that will allow you to earn cash back on gas and all other purchases. For example, the Discover it® chrome card offers cash back on all purchases including gas. Gas purchases and purchases at restaurants get 2% cash back on up to $1,000 in combined purchases each quarter. Plus, you will earn unlimited 1% cash back on all other purchases - automatically. Also, this card has no annual fee and has a intro APR (after the introductory period is over, an ongoing APR will apply).