Digital Devil Story - Megami Tensei

Original title: デジタル・デビル物語　女神転生

Handsome high school student Akemi is a computer genius. One day a new girl, Yumiko, transfers to his class from another school. She quickly falls in love with Akemi but, absorbed in his computer, he pays her no attention at all. Akemi accidentally summons demons who wreak chaos on his enemies and friends.