The First 15 Minutes of P.N.03 (GameCube)

Copied from MobyGames:

The Computer Arms Management System (CAMS) is the basic form of defense for planets against any enemy. But a terrible accident leaves an entire colony dead, and it's up to a human to put an end to the out of control system.

Enter Vanessa Z. Schneider, a freelance mercenary, who has been charged with the task of bringing CAMS under control. But she has another mission at heart: to take revenge on CAMS for killing her family.

Control Vanessa through the various landscapes in a third person perspective, using her upgradeable abilities to destroy the CAMS, while dodging fire with a range of acrobatic moves.