Now that is cool! I once got to be near a cheetah, but they wouldn't let any of us actually touch him. (There's a federal law of some sort.) Cheetahs are very skittish. They're so specialized they really can't deal with situations outside of their box. Fortunately this group of about 30 or so tourists was asshat-free so the cheetah was able to relax around us.
I've held & petted a couple of jaguars, & the bigger one even purred.