It sounds like you are looking for a cash-back rewards credit card. Regular, unsecured credit cards don’t require a deposit, and there are many different cash back credit cards to choose from if you have good credit.
The best thing to do is use the Credit Card Navigator on our homepage, which lets you search for a credit card in three simple steps.
First, you’ll enter your credit score or general level of credit if you know it – from limited to excellent – and then you’ll check the boxes that indicate your primary goal for your new credit card (in your case, earning rewards), and the promotional offers you’re most interested in – here you can check the “cashback rewards” box. You’ll be shown a variety cards recommended for you, and from there you can read over the pros and cons of each one and choose the one you like best.