Neongrey's Cat Petting Simulator is a text-based adventure game which permits you to experience the joy of petting a beautiful cat without getting cat hair on you or cat urine on your furniture.
You get to name the cat, then interact with her. Decisions flow like a Choose Your Own Adventure novel.
Don't worry too much about making a bad decision. You can save your game and then return to that save point. Or, if you're in the middle of a good petting and your boss insists that you do some actual work, you can come back to it later.
-via David Thompson, who recommends the game to people with cat allergies.