Villager/Horse textures glitch out when looking in certain directions

What I expected to happen was:

The textures for the horse and villager stay the same wherever I look

What actually happened was:

Whenever the player looks certain directions, the texture for the horse and villager go all weird. The villager looks like it's head is white and has it's regular texture smashed and in a circle around the actual "head".

The horse's texture goes all weird too, but instead of the texture being in a "circle" around the head, the saddle makes the head go brown and the saddle becomes a square around the sides and top. 

Steps to reproduce:

1. Spawn a villager

2. Spawn a horse.

3. Tame the horse and put a saddle on the horse

4. Look in random directions

Note:

I haven't checked this in other versions.