Tsuruko-sama, Flower-of-June-san & all,
Noticing your desire for Japanese mythology, let me say that some time ago I downloaded a fairly ancient English translation by Basil Hall Chamberlain [2nd edition] of the whole
Kojiki, one of the most ancient texts in Japanese at all, as a 67.4 MB .pdf-document.
You could get that at
Kojiki, the place where I got it too. I must say, I still got to read it... but it's there!
OK, Japanese culture, neh? Well, the abovementioned is a good start. I've grown quite fond of the country's history, with its several drastic changes of course [Meiji is only one!]; IMO the half-century up to the Tokugawa unification really stands out.
Like some of the others, I too am fond of their architecture-cum-gardening, the typical way in which home is part of the environment, rather than a secluded separation from it.
And I really admire their ability to 'go all the way' in whatever they're doing. Their decidedly instable environment [earthquake, tsunami, fire] never seems to subdue them, to make them think 'hey, this is good enough, this work of art will only last till the next natural catastrophe'. They're not Christians, or some other faith believing in an eternal afterlife. It has to be now! So many Japanese products are top of the bill - on a worldwide scale!
Anybody got a stray katana left? From the 12th century on these were the best swords - worldwide, again. And all handiwork, which could take years. European technology made steel of comparable quality only after the blast furnace was 'up' [19th century].
And they do not copy things, they Japanisize [aka improve] them. One example: learning about the arquebus in 1543, they were better at making and using it than its European inventors within 25 years, adding a lacquered cover protecting the fuse against the rain [no European ever got that idea AFAIK]. Followed the battle of Nagashino, 1575...
In the Meiji era they made good 2.5 centuries of lagging behind within 4 decades.
[Hey, all America wants a compact, frugal car these days...

]
And was there ever a more elegant ladies' dress than the kimono? Yes. A geiko's kimono
One elegant lady produced the first novel - worldwide, again: Murasaki Shikibu, around the year 1000. Must say, though, that I like Sei Shonagon better.
Finally, I like Engrish. So sorry, can't help it... when the last Shogun went up for the American Presidency, rumors have it that at one location in Japan a proud banner shouted: WE PLAY FOR MACARTHURS ERECTION!! But no idea where... err... umm...
here, perhaps?