How do you order zima beverage from japan?

I don't think any importer carries it, and as far as I know it's not legal to have someone mail it to you. If you went to Japan, though, you could naturally bring some back with you in your luggage.

Also try checking Ebay every now and then: "Zima unopened" and "Zima sealed" are good search terms. I just turned up a really old bottle of Zima Gold that way, though I didn't want to buy it.