Gotta love Goofy, but he's gone longer without a facelift than any other member of the Fab Five (aside from losing his eyelashes), and really looks nothing like his cartoon representation.
Also, Beast is in dire need. He has never received major cosmetic work, and his hands are virtually useless, which is why he rarely signs. The visibility is bumpkis in the dark, or if the sun is hitting him the wrong way. When kids run to hug him, they wind up bouncing off his hard shell of a chest. Luckily, he's supposed to be getting a new look very soon with articulated mouth, eyes, and even eyebrows (or so I've heard).
And you're definitely right about the Toy Story gang. I don't know why they insisted on giving them eyelids, as they just are not part of the character, and Woody needs a narrower neck.