The closest I've seen is Victoria's Changing Pony Tail at DAZ. Not the new Ultimate Changing Pony Tail, the old one. It's designed for Victoria 2, but the hair pieces are just props, so you can put them on any character. It has an expansion pack that lets you make historical-looking hairstyles. There's also a separate map pack, that includes white textures. They are PC items, so if you're a member, you can get each of these packs for $1.99 each.

For a morphing mustache, check out the "Stylez Facial Hair" at RuntimeDNA. Very cheap, and good quality. I think there's a pack with extra textures, too.