Whenever I ride a horse it moves forward for one second, then freezes for one second, then repeats (the horse, NOT Minecraft itself).
I noticed this happen to me at some point but I cannot recall exactly when.
Can confirm. This happens to me often when joining a server.
I've been using my own texpack/respack since 1.5x and the horse health still doesn't show. "since the texture pack is from before horses, there is no texture for it, but instead a purple "Missing Texture" texture (It was used in the old terrain.png). The game uses that as the texture." <--- THAT explains a lot. I guess I have to figure out which of those boxes need to be changed.