There were many school anime series with the female protagonist being cold or flirtatious. The following are a few classic examples: [1. Ishihisa Okutani from My Hero Academy: Although introverted, he is very talented and courageous. He is regarded as one of the best students in Hero Academy.] 2. Kimki Ken in Tokyo Ghoul: Although she usually looks calm, she is actually very fragile and needs the love of others. 3 "Your Name." Makoto Shinkai: Although she looks cold, she has deep feelings for Makoto Shinkai. She is a girl with a complicated inner world. 4. Mitsukasa Ackerman in The Attacking Giant: She is a very brave and determined person. Although she looks cold on the outside, she is very kind on the inside. Naruto Uzumaki from Naruto: Although she sometimes looks cold, she is actually a person who cares about her friends and family very much.