Perhaps the Soviet ATk dogs would be considered a 'moving mine'.
IIRC, the Russians trained them by putting food under tanks; then when released against German armour the idea was that they would go under the German tanks...
But I think in the noise and confusion of combat, many dogs returned to Russian lines. Which must have been a bit awkward.
I also seem to recall that someone made an ATk dog mod for SP at one time. I'm sure I remember seeing an ATk dog icon. I'll have to see if I can find it.
cheers,
Cross