Second part of Gokushufudou.

In the mysterious future, crystalline organisms called Gems inhabit a world that has been destroyed by six meteors. Each Gem is assigned a role in order to fight against the Lunarians, a species who attacks them in order to shatter their bodies and use them as decorations. Phosphophyllite, also known as Phos, is a young and fragile Gem who dreams of helping their friends in the war effort. Instead, they are told to compile an encyclopedia because of their delicate condition. After begrudgingly embarking on this task, Phos meets Cinnabar, an intelligent gem who has been relegated to patrolling the isolated island at night because of the corrosive poison their body creates. After seeing how unhappy Cinnabar is, Phos decides to find a role that both of the rejected Gems can enjoy. Houseki no Kuni follows Phos' efforts to be useful and protect their fellow Gems. [Written by MAL Rewrite]

After dying of overwork in Japan, Dahlia is reborn into a world filled with magic. Raised by a master of magical toolmaking, she develops a passion for the craft and becomes engaged to her father's apprentice. Before her father can see her wed, however, he suddenly passes away. As if this weren't enough, on the day before their wedding, her fiancé announces that he's in love—but not with her! Dahlia finally realizes she needs to live for herself. She vows to be her own woman from now on and devote herself to her craft, even if it's not quite the quiet life she was hoping for! From a chance encounter with a knight to starting her own company, there are challenges aplenty on the horizon. But this young craftswoman is no longer a shrinking violet—she's Dahlia, and she's ready to bloom.

Unaired anime episode bundled with the limited edition of High School DxD DX.1.