Stratus Rewards Visa is another exclusive credit card by invitation only or referred by a current member. It's known as the "white card" and has a $1,500 annual fee. You can redeem reward points for gift bags and private jet travel.
You need $200,000 spending for each free hour of flying on a 7 passenger Citation Ultra. They do allow you to pool points with other cardmembers that are your friends and family and combine them for use together.
I'm far too poor for any card like this but if I wasn't the private jet part would be nice.