I've been thinking about games as "shaped randomness" lately. Choose the right distributions, pick the right mechanics, stick some art on top to stimulate people's imagination and you have the ingredients of a good game.
Just rolling a dice is fun. What will it roll? There's a kernel of fun there, not much, but something. Add some art, like Snakes and Ladders, and you have a legit game that has lasted for centuries. Finally, add some actual decisions to the game, and now we have something really interesting.
I've also been viewing games through the lens of interaction and watching. I like to interact and make choices, but I also enjoy passivly watching the story unfold. The auto-battler genre shows people can enjoy games where 80% of the game is just watching the consequences of your choices unfold in a nice spectacle.