[Time to completion: 5-10 minutes]
Fun fact: in the past two years, there have been at least one game with 'cat simulator' in its title. What's not to like? It's certainly fun to speculate on cats' motivation for their inscrutable behaviour, and since domestic cats live in such proximity to humans, it does make one wonder what they think of us, as a species.
In this cat sim, the titular cat is a lazy domestic cat looking for a spot to nap. It's broadly branching, largely relaxing and self-aware: 'good' and 'bad' endings are indicated as such (although is there really a bad ending, if you're still a cat at the end of it?); there is even a list of AMUSING things to do, as in some parser games. A short, pleasant diversion.