Black Jack (「ブラックジャック」) is an animated series aired on TV in Japan between 2004 and 2005. The title character is a mysterious doctor with white and black hair. Naturally, after getting her hands on the new Two-Face minifig from the Batman theme, mumu’s wife saw the similarity and made Jack, along with his sidekick, Pinoko:

You can find more info on Black Jack on Anime News Network.