Gakuen Alice: Doki-doki Fushigi Taiken

The game starts with you being introduced to several characters. However, just like Mikan, you have to find what your Alice is before becoming an official student. Your Alice depends upon your interactions with the characters and your character's appearance as well.

Gakuen Alice: Doki Doki Fushigi Taiken is an Adventure game, developed by Rokumendo and published by Kids Station, that was released in Japan in 2004.