Nodame Cantabile

Megumi Noda or "Nodame" is a piano student at Momogaoka College of Music. An extremely talented pianist who wants to be a kindergarten teacher, she prefers playing by ear rather than reading the music score. She is messy and disorganized, takes baths several days apart and loves to eat, sometimes stealing her friend's lunchbox when it is filled with delicacies.
Shinichi Chiaki is Momogaoka's top student. Born into a musical family, he is talented in piano and violin and has secret ambitions to become a conductor. An arrogant multi-lingual perfectionist who once lived abroad in the music capitals of the world as a young boy, he feels mired in Japan because of a childhood phobia.
They meet by accident. Nodame quickly falls in love, but it takes much longer for Chiaki to even begin to appreciate Nodame's unusual qualities. Their relationship causes them both to develop and grow. Because of Nodame, Chiaki got the opportunity to lead a student orchestra and began to have a broader appreciation of people's musical abilities.
Because of Chiaki, Nodame faces her fears and enters a piano competition. Opportunities open up as both begin taking risks, stretching themselves far more than they ever thought possible.
(Source: DramaWiki)
~~ Adapted from the manga "Nodame Cantabile" (のだめカンタービレ) by Ninomiya Tomoko (二ノ宮知子).