Jump Festa 2004: Memories in the Rain + 13 Squad Omake. This was created before the anime series. Most of this OVA is a different telling of episodes 8-9. The last two and a half minutes after the closing credits contains scenes involving the Gotei 13, some of which don't occur until episode 48. If you are concerned about spoilers, please wait until episode 48 until watching the scenes after the credits, even though they don't contain any original story.
Jump Festa 2005: The Sealed Sword Frenzy. This second OVA is an original story which did not take place in the manga or TV series.
Licensed This series is licensed and has been removed from the site (more info).