How to see the anime is a bit of a mystery. Capcom is offering it to Xbox 360 buyers of Super Street Fighter IV as a bonus (possibly as some kind of download or through Xbox Live Marketplace), but that offer is for Japan only. The fact that a trailer is available on Xbox Live Marketplace in North America suggests that it will be available here in some form. We're checking with Capcom for details. In the meantime, enjoy the trailer above or through your Xbox.
Shortcut: Download the Super Street Fighter IV anime trailer