In The Global Soul: Pico Iyer, (disclaimer: the depiction of Japan may be offensive) Iyer says:
Rather perversely I live in Japan, which, as you know, is the most alien science fiction place on earth for those of us from other countries.
When you get there they read from right to left and back to front.
So far, I've only experienced horizontal writing being from left to right. I've heard that vertical writing is top to bottom, and the next column is on your left, though I've never tried reading any vertical text with more than one column.
Wikipedia states that when there's only one row of text, writing in columns consisting of a single letter can result in text going from right to left.
Are there any other cases where Japanese reads from right to left?