Episode 1 is filler that nobody remembers. Episode 2 is why you watch this: Haru's backstory lands with real weight, and it fills a gap the main series left open. If you've finished Accel World and need to understand who he actually is before everything falls apart, this is the only place that explains it.
Two episodes originally packaged with the limited editions of the Accel World games. In the first, a mysterious and skilled hacker is trapping students on the Umesato Junior High network after school and stripping their avatars of clothing and items. When Kuroyukihime learns other schools face the same trouble, she brings Haruyuki, Chiyuri and Takumu of the Nega Nebulus legion together to set a trap for the culprit. In the second, Haruyuki has two weeks to pass a physical re-examination, or he will be barred from territory battles. Chiyuri takes charge of getting him in shape, first with a harsh workout plan and then, when that fails, with a trip to a hot spring.