Unsurprisingly, the Japanese trailer for The Wolverine has a different edit, though it's not actually as distinct as I had been expecting. I do like it, though. It seems to be made half out of comic book movie tropes, half out of sterner, noir-ier stuff.
From what I know of the film – and I wish I could tell you everything I know, and in time I will – the Japanese title of Wolverine: Samurai is entirely fair.
Thanks to our Craig Skinner for the embed.