Volume two is more of a mess than volume one. The second series, as a continuation of the first, has taken Alita to space on her quest to "rescue" Lou's brain from a matrix, but she keeps getting distracted by side quests. Now on the sky city of Kethares, allied with three of her old "clones," Sechs, Elf, and Zwolf, she joins a tournament called ZOTT, which is basically an excuse for a bunch of protracted fight scenes with bizarre foes, some of whom were apparently created by reader submissions. There's a kung fu master space vampire (no explanation for why suddenly vampires exist), a team of nursery school teachers who rescue the child soldiers sent to die bloodily in Kethares wargames and are now doing battle to try to win a "nation" for themselves and their kids, and various other weird antagonists, each of whom presents some new challenge and gives Alita and her team new tactics and powers to overcome.
As a collection of zany sci-fi gladatorial characters, it's entertaining, but after the latest 600-page omnibus, we're not really much further along in the plot. Alita is finding out more and more about her past life as a Martian warrior named Yoko, but her personality keeps changing, and the tone of the comic keeps varying between comical and serious, moralistic, and gory. There's toilet humor and a teddy bear-hugging space queen mixed with Alita being haunted by a Nazi ghost while she tries to rescue toddlers from being turned into bloody soup.
I am not sure Yukito Kishiro really knew where he's going with this, but there are several volumes left.