She, the Ultimate Weapon / Saikano: The Last Love Song on This Little Planet. 最終兵器彼女 (Saishū Heiki Kanojo)

Alternative Name: 最终兵器女友 (Zuì Zhōng Bīng Qì Nǚ Yǒu)

Genre: Romance, War, Tragedy, Military, Action, Drama, Sci-Fi, 
               Post-Apocalyptic

Description: 

Shuji and Chise are two Hokkaido high school students barely starting a relationship with each other. Then, with no warning, a squadron of bombers from an unknown country destroys the city of Sapporo. All hope is lost when suddenly; the bombers are destroyed by a small red light floating across the sky. At this point, Shuji finds out that the one responsible for eliminating the enemy forces is Chise, who reveals herself as a cyborg engineered for mass-destruction.

Episode: 13 + 2 OVA

Original Run
Series: July 2, 2002 – September 24, 2002
OVA: August 5, 2005 – September 9, 2005

Studio: Gonzo / Studio Fantasia (OVA)

Live-Action Film: January 28, 2006

List of Song (directly to CrimNight Muse Garden)

1. Koisuru Kimochi                         [Opening]

2. Sayonara                                         [Ending]
3. Taion                                                 [Insert]
4. Sayonara                                         [Insert]
5. Hoshi no Hate                               [Insert]

6. Yumemiru Tame Ni                    [Insert]

OVA:
1. Rainbow at Midnight                                       [Ending]
2. Hikari                                                                     [Insert]
3. Mayonaka no Niji ~Everlasting Love~   [Ending]

Manga

1. Saikano

Published: December 27, 1999 – October 29, 2001

Volume: 7

2. Saishuu Heiki Kanojo Gaidenshuu - Sekai no Hate ni wa Kimi to Futari de

Published: July 19, 2001 – January 30, 2006

Volume: 1

Here is the preview: