Well, what sort of game could a cat play? Many of the options open to you are limited by little things like a lack of thumbs. "Let's play hide and seek," you finally tell him.
"Alright," he agrees, and the two of you get ready for a rousing game. You're the first one to hide, so while Russell is counting you run off and shut yourself in a closet. "Ready or not," you hear him call, "here I come!" You sit back and wait. You wait for a long time. You don't have any way to tell time in here, and if you come out you'll surely lose, so you wait...forever. Russell is apparently not very good at hide and seek, but you're patient; even as the rest of the world ages and crumbles into decay, as governments, empires and entire species rise and fall, you wait. You wait until you're all that's left and then, once you're sure all of Russell's ancestors are extinct, you come out.
"Got you!" he shouts, as soon as you emerge. "I don't have thumbs, so I had to wait for you to open the door!" You sigh and shake your head, finally waking from your millenia long slumber by the sensation of being bested by a feline.