Sakura Wars is an anime series about a team of girls who have special powers that allow them to control giant robots in a time when giant robots shouldn't exist, the late 1800s/early 1900s.
The main character is Sakura Shinguji a girl who grew up in the country, and must learn her fathers Ryu before she can begin her training. When she finally joins forces with the rest of the team, she must learn how to cooperate with a team, and learns much about how people operate, especially when they are in competition with her.
The girls must fight of hoardes of evil beasts, while dealing with each other. Its got mecha, its got chicks, and its got evil beasts.