Cuddle a Big Cat

I’m adore Cats of all shapes and sizes and would love to get close to a big cat, A Jaguar / Cheetah / Leopard / Lion / Lynx – Any or all of them. Its probably going to be a partially tame one and preferably well fed. A cub would be nice, but an adult better….Do they like their tummy’s being rubbed or fussed around their head ???