Many things that many people believe robots can do are in this category. The absolute state of the art is balancing (not walking) on 2 legs (which does allow you to move, but ...), and walking on 4 legs (it's not really walking like for example a cat does, but it's better than balancing)

But the control loop for grasping arbitrary 3d objects given a camera image of the object and the hand ... such a stupid thing is a completely unsolved problem, and it's we're not anywhere near solving it.

Here's how amazon sidesteps that problem : http://www.youtube.com/watch?v=6KRjuuEVEZs&noredirect=1