I've only seen the first two episodes of the TV series, but the story seems very interesting. The series takes place in the slums of a world where people can get implanted body parts. The main character, Gally (Alita in Japanese), is found in a junkyard by a doctor named Ido who takes her to his clinic and rebuilds her body; therefore, Gally has a machine body. Ido also works as a bounty hunter at night, where he catches thieves who steal people's body parts to make money by selling it to those in need of the parts. Gally doesn't remember any of her past, but she fights really well, so she works as Ido's sidekick.
I really like this series so far -- the fighting scenes are really awsome, albet a little graphic. Don't buy this if you you feel uncomfortable seeing severed limbs, heads, and spines. I recommend this to anyone who likes dark sci-fi stuff.
Nudity: None in the first 4 episodes that I've watched.
Story Line: Pretty good. Very dark and sci-fi.
Violence: Very violent and graphic at times. A very emotional death in the first few episodes.