The one pick is a no brainer, need I say it ... Japanese greens.
The 2nd pick is seemingly impossible. However by process of elimination I have narrowed it down a very tiny bit.
Chinese greens, Taiwanese teas (glad you lumped all these together!), Chinese oolong, Korean teas. I think Pu-erh fell off the list, sad to say.
So, I am undecided having included just about every true tea on your list of options.
Hey, where is Darjeeling and similar?
I will have to think more about this, but I am not sure I will ever get it down to two teas. And if I did, the 2 teas would change constantly.