One of them does.Data,my orange w/bursts.It was due to my own carelessness.I accidently banged him against a metal desk when I bent down to get a magazine out of it ( I was wearing him around my neck at the time ) .It's only a tiny scratch though and he doesn't seem to mind.
They seem to get scratches easily. I'm going to snag some cases when I have the chance, or just some baby socks to put them in if i have to take them somewhere so they don't bang together...
Supposedly you can buff out scratches with a cd repair kit but having never tried it I won't say if it's true or not...
My tamagotchis are covered in scratches. I'm trying to take better care of my new tamagotci by keeping the sticker to cover the screen, but it isn't working very well.