As cars have become larger and larger, these kinds of car parks have become fewer and fewer. These stacking car parks were generally built in an era when most vehicles had lower roofs. Car parks known as 'coin parking' have become more popular. They are a pay and display type car park without the 'display' part and typically have small wheel barriers that rise up to prevent cars from driving off without paying. They tend to be temporary affairs on vacant land, although that 'temporary' can last for a few years. Also, as central Tokyo has redeveloped and newer high rise buildings have been built, these often have basement garages which are far more convenient and are built to accommodate the larger and taller vehicles of today. These typically have a head height of 2100mm. Smaller cities have in many cases built municipal multi-storey car parks in an effort to encourage people to use the equivalent of the Japanese 'high street', although this hasn't proven as effective in preventing the decline of the traditional shopping arcades as local governments would have hoped.
The first car coming out is a Toyota Probox. I know because we have one. While it is not the same model as ours it looks very much the same as ours. Its been an extremely useful car for us.
Driving around in a parking building ussually takes longer but the time waiting is shorter so it feels faster. Not taken in account the walk to and from the car which is zero here.
I admire Japanese efficiency but there must be a better, quicker way to Park. You block the street with people waiting to park, obstruct the sidewalk and pedestrians getting the cars in/out and a cumbersome "loading" system...