Simon Says is one of Kate's games. (At this point it's all just "Simon Says"--we haven't been doing Simon doesn't say yet.) It can be a challenge to think of things to have her do. (I often find myself resorting to ridiculous things like, "Simon says bark like a chicken!") We also play it with her stuffed animals, which adds an additional level of interest as she has them wag their tails and wiggle their whiskers, and other things that she can't do herself.
Playing Simon Says always makes me think of Mr. Shillito, the P.E. teacher at my elementary school. Mr. Shillito was a Simon Says master of a truly fiendish order. His games were legendary. If Mr. Shillito said "Simon says spin around," and you spun around, and then he said, "Simon says raise your right hand," if you stopped spinning to raise your hand you were out. You had to keep spinning around while doing all the other things, till Simon specifically said to stop spinning. It took a lot of concentration to stay in the game. I recall him once taking on an entire grade (or more?) in a special assembly.
I found an article about Mr. Shillito receiving an award for helping a student lose weight. Good on ya. (Edit: Looking at the dates, it would seem that this is a different Mr. Shillito. Perhaps his son?)