Ray The Animation

The theme of sci-fiction comes into play in both series. Additionally, there are characters that are unique in t heir own ways and hints of romance (less so in No. 6 but based on mutual respect/affection). Both series also has drama and small bits of comedy. 

Opening theme contains paintings by Gustav Klimt. The main character - Ray, like Lucy, suffers from multiple personality disorder, does not know anything about themselves and their parents. Ray - a wonderful surgeon, thanks to his extraordinary abilities. Lucy could also be an excellent surgeon, as vectors can do extraordinary things. In the anime, there is a man who tortures people for their own experiments, as the benefits, like Director Kakuzawa in the Elfen Lied. 

Black Jack tells the story of the perfect doctor. There is quite a similar story with conspiracies, amnesia and other joys of life.