Lullaby for Wednesday's Cinderella (1987)

Original title: あいつとララバイ 水曜日のシンデレラ

On a Wednesday morning, Kenji goes touring with his girlfriend when he spots some other riders waiting and stops his bike. One of them explains that a legendary female driver nicknamed Wednesday Cinderella passes this place every Wednesday in her white Porsche. Kenji becomes interested in this mysterious driver; however, racing with her proves more dangerous than it first seems to be.