Updating with more information: Please see this list of BWR reactors throughout the world: http://en.wikipedia.org/wiki/List_of_boiling_water_reactors
You will notice that Fukushima Daiichi No. 1 (which caused the hydrogen explosion to the building walls) is a BWR/3, MK-1 model reactor. From this page, http://en.wikipedia.org/wiki/BWR#Evolution_of_the_BWR, you will see the following:
The first [General Electric] series of production BWRs evolved through 6 iterative design phases, each termed BWR/1 through BWR/6. (BWR/4s, BWR/5s, and BWR/6s are the most common types in service today.) The vast majority of BWRs in service throughout the world belong to one of these design phases.
1st generation BWR : BWR/1 with Mark-1 containment.
2nd generation BWRs : BWR/2, BWR/3 and some BWR/4 with Mark-I containment. Other BWR/4, and BWR/5 with Mark-II containment.
3rd generation BWRs : BWR/6 with Mark-III containment.
So, it would seem to me, that this confirms, it was not until at least BWR/4 or above that Mark-II containment was used. I'm pretty sure this confirms there is no 3rd containment layer.