And now for something completely different. This is called a Rolykin. The White Rabbit is the only Alice character to get one that I am aware of.
It is an inch high figure with a ball bearing embedded in the base, thus allowing it to roll around. Comes in an individual named character box.
I've also seen a blister package, but not with the White Rabbit.
I know they also made Batman characters and Daleks from Dr. Who.
UPDATE: Oh, and I forget to tell you, there is even a Rolykin playset with track like Hot Wheels. Pretty damn cool if you ask me, wish I had one.