The First 15 Minutes of Croixleur Σ (Vita)

Copied from MobyGames:

Croixleur Sigma is a 3D arena based fighting game, with girls wielding swords as the playable characters. The story is about a rivalry between two groups known as the Knights and the Aristocrats. Two friends, Lucrezia Visconti and Francesca Storaro, compete against each other in a series of tests. There can be only one victor.

The gameplay is somewhat similar to Mitsurugi Kamui Hikae. The chosen girl enters a small arena and must murder all relatively weak enemies as quickly as possible. After this, she goes on to the next arena. Sometimes a boss needs to be defeated. Each girl has various moves to make combos and combo chains are the key to high scores and fast times. They can also find various items like new swords.

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