The most exclusive high-end credit cards have sleek design, loaded with luxury perks, come with really high fees, and… they tend to be invite-only. You can’t simply apply for such a card and expect to get approved. You have to receive a private invitation to be able to apply for a top high-end credit card. For example, to receive an invitation for a high-end card like the American Express Centurion Card, also known as the Amex Black Card, you will need to be a big spender.