It looks like the days of import sites may be over as Amazon.co.jp has begun offering international shipping for games and consoles, including those by Nintendo. There are still listings that say otherwise, but NeoGAF users have reported that they don’t seem to be accurate anymore.
However, the process isn’t that simple. You will need a new account and it must be from Amazon.co.jp. Your American or European accounts will not work. A credit card is also required and the product you are ordering must be sold by Amazon itself. There is even some disagreement on whether it is possible to pre-order a gaming product.
Wow it looks like Amazon japan allows international sale for games/consoles now
I tried with a ps4 game just now and it works
— Hadler (@HadlerER) March 8, 2016