I think the best solution here in to study in Europe or USA and come back to Japan for work. Studying in Japan is waste of time and money.
I used to study for an Master's program in Japan at one of most famous Universities here, and I just quit it. Some lectures and seminars were tought by nice professors, but most were run by one-track minded Japanese.
Japanese people are really strange actually, despite the fact that they behave friendly and kind. Most of them are narrow minded and most they know comes from the same people. How disgusting and stupid their tv shows and political views.
You can see many foreign people in Japan, especially Tokyo/Osaka, but living here is just like living in two separate worlds. Of course, you interact with Japanese, but they won't let you come closer. Moreover, the better you know Japanese language, the farther you become from this society.
So my advice to you - learn Japanese, but never apply to any MBA program here. Foreign companies working in Japan need good broad managers, and leave the everyday tasks to Japanese people.
I do not want to say that Japanese people are bad, they are good, but very different, too far from westerners.
And my personal point of view after 8 years in Japan - economy here sucks not only because of some global issues, but far more because of the people living here. They are not adaptive, not able to invent and one track minded. Most of them know only what they know, believing only same people near them. And most their characteristics are developed through education.