If there's one card most associated with celebrities, it's the American Express Business Centurion Card, often referred to as the Amex Black Card. It's an invite-only card, and although you don't need to be famous to get it,

American Express Company is an American bank holding company and multinational financial services corporation that specializes in payment cards. It is headquartered at 200 Vesey Street, also known as American Express Tower, in the Battery Park City neighborhood of Lower Manhattan.