Tenkuu Danzai Skelter Heaven(2004)

Tenkuu Danzai Skelter Heaven

In the distant future, a mysterious floating object appears suddenly in the center of the city. The top secret mission unit "Alta Mira Agency" or AA is comissioned by the Defense Agency to deal with this mysterious invader. In charge of the robot training is Hunagai Otsuya. He must choose one of the girls to recieve special training which she will recieve in secret. They must use the "Battle Soles" to push back the enemy even at the cost of their lives.

(Source: Anime News Network)