My persian, Eliza, who is probably three years old will pay hide and seek with me. She will stick her tail up in the air and run into a different room. I am supposed to chase her and she will hide in the room. When I turn around to leave, she will come zooming out and go hide in a different room. She will play this way with me until I get tired. If I catch her, she will purr very loud and run away again.
I found her at the pound when she was approximately six months to one year old. She is my baby who will sit by my head when I am sleeping, and purr and cuddle until I get up and do what she wants (whether to replace the food in her bowl or to clean the litter box). She is very entertaining.