Nana (2006)

 Two twenty-somethings seemingly share nothing in common apart from their first name, but a chance meeting on a train bound for Tokyo sets Nana Komatsu and Nana Oosaki on a collision course with destiny. Nana Komatsu, a love-at-first-sight dreamer, aims to find enduring happiness in the big city. Nana Oosaki, neo punk rock vocalist, pursues her burning ambitions of musical stardom and worldwide fame. As their fates increasingly intertwine, they each chase their dreams — until the harsh realities of life in big city Tokyo threaten to tear everything apart.

(Source: Sentai Filmworks)