Fishbowl.

You fill a round goldfish bowl up with water, drop the fish in, and then seal the top to make a perfect glass sphere.  Assuming a level plane, no air bubbles in the water, minimal friction with the ground, and sufficient amount of oxygen dissolved in the water:

Can the fish make the bowl go forward?

The fish cannot force the bowl forwards by purely translational means (Newton's 2nd law).  Using the hamster wheel analogy, it can make the bowl spin (maybe?).  For the spinning bowl to move forwards though, requires friction with the ground, which is stated to be negligible.  Hence the bowl stays where it is ad infinitum.