Do Asian have more skull shape diversity than other race?

Question

If so, how many types are there and what are the groups used to distinguish them.

Answer 1

Asia is a continent, not a race.  You are probably refering to sinodonts (aka "new orientals") that do not have more diversity.  There are two types of Orientals which I think  you are refering to as Asian.  They are sinodonts and sundadonts and there is a chisel incisor in sinodonts and not too many differences besides that.  I would think Caucasions have more diversity.

Answer 2

What I know is that the biggest diversity is in Africa. Caucasians, East/North-Africans, and Asians have more in common with each-other than the tribes in West/Middle and South-Africa with each-other. It's a sensitive topic, but we can easily say that we're very very similar.