It’s funny: when I think about “horse games,” I don’t think about games that do horses well. I have, like, a mental model of a “video game horse” that is influenced by how janky they are in games like Skyrim, and so in my mind the quintessential “horse game” is CliffHorse, which is not really a game, it’s just a small but extremely hilly landscape that you can run around as a very fast horse that never slips, falls, or jumps, unless you run off the edge of the map and fall into the endless void. CliffHorse is to video games as video game horses are to actual horses.

On the other hand, my favorite actual* horse-raising game is Horse Master: The Game of Horse Mastery.

*Actuality not guaranteed