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Frankly, the co-branded Amazon credit cards give shoppers consistently high cash-back rates on Amazon purchases. The Prime Visa credit card is a great choice for customers with an eligible Prime membership - it offers 5% cash back on Amazon purchases and on Chase Travel purchases, 2% back at gas stations, restaurants, and on local transit and commuting, and 1% back on all other purchases, all with no annual fee.
But don't forget that Prime membership is required for this card, and it costs $139 a year. If you do not spend enough to offset the membership costs with rewards, then the Prime Visa card may not be a great choice for you.
If you are not a Prime member, you may choose from other credit cards with cash back rewards. For example, the Discover it® Cash Back credit card offers to earn 5% cash back on everyday purchases at different places you shop each quarter, like grocery stores, restaurants, gas stations, and more, up to the quarterly maximum when you activate. When you reach the cap, you will continue earning 1% cash back on all purchases. Also, Discover will match all the cash back earned for the first year (provided you are a new cardmember). You can redeem rewards any amount, anytime. It is also possible to use rewards to pay at checkout at Amazon.com.