Busou Shinki: Moon Angel

Prominently features humanoid machines.

Prominently features the use of guns in combat.

Prominently features the use of swords in combat.

A proxy battle is a battle where humans use creatures/robots to do the fighting for them, either by commanding those creatures/robots or by simply evolving them/changing them into battle mode.

Prominently features a character evading capture by an individual or organization.