Who doesn't like a freebie? You can get the first episode of the second season of Gunslinger Girl -- presumably about a girl that slings guns (that's totally a lie) -- absolutely free from the PlayStation Video Store. Browse the "Anime" section of the Store, and look for the episode entitled "Distance Between Two: Brother and Sister." The offer is available on both PSP and PS3 until September 17.
Catch a trailer after the break.