If you liked the Psycho-Pass anime, the Anime-Planet community thinks you'd like:
For Kouta and Yuka, finding the bloody naked young girl on the beach would change their lives forever, for better or for worse. Unable to speak or function as a normal human being, she is named Nyu by the duo, and taken into their home in an effort to save her. But what neither teenager knows is that this innocent young girl is actually a killing machine -- an experiment gone terribly wrong -- and it is only a matter of time before the murderer in her awakens again...
Both series have a foreboding, dark vibe to them. Though placed in very different worlds, the theme shared between them is a disturbing mystery shrouded from common knowledge. Elfen Lied is more bloody, but both provide action and intensity with an enticing story.
In the future, androids live side by side with humans – but not as their equals, as their slaves. Though they look identical, these androids must display a holographic ring over their heads so the difference is clear. One day, a boy named Rikuo finds abnormal activity patterns in the logs of his own android, and alongside his friend Masaki, he sets forth to find where the android has been. Much to their surprise, the duo discovers a secret café known as Eve no Jikan with a single rule: within its walls, there must be no discrimination between humans and robots. In this place, androids appear to be human and are even displaying signs of independence – a trait that should not be possible. Rikou finds his perceptions increasingly challenged as he struggles to come to terms with his own android, and the relationship between man and machines...
Both series take place in technologically-advanced societies which contain loads of controversy about the new systems in place, the way cultures perceive technology, and the limits between human and machine. Each series causes the viewer to think about negatives and positives of these societies and consider for themselves how they might handle living in these situations. Eve no Jikan is a little more lighthearted, while Psycho-pass is more melancholy, but both provide subject matter that runs deep.
The foundation of alchemy is based on the law of equivalent exchange; you cannot produce something from nothing. As such, alchemy is bound by one taboo - human transmutation. Four years ago two young brothers, Edward and Alphonse Elric, broke this taboo when they tried to resurrect their dead mother. During the process Al's body disintegrated and Ed lost his leg. In a desperate attempt to prevent his brother from disappearing completely, Ed sacrificed one of his arms so he could affix Al's soul to a suit of armor. When his missing limbs are replaced by auto mail parts, Ed bears the name of the Fullmetal Alchemist - the youngest ever State Alchemist and dog of the military. Now, alongside his brother, Ed uses his status within the military to attempt to find any way that he can return their bodies back to their original state.
Both take place in unique worlds of their own with societies run in questionable manners, causing the characters to consider what is right and wrong in their culture and what they can do to affect it. Different they may be, but both series are entertaining, intense, and worthwhile for anyone to watch.
Tarou has dreams - distressing dreams, related to the trauma he suffered as a child. His dreams and visions disturb his ease of mind, constantly reminding him of the darkness of his fear at the time he lost his sister all those years ago. He relives the fear, but can't recall any of the details of the time. Now, a new transfer student, Masayuki, takes an interest in Tarou's troubled past, as well as their school mate Makoto's connection to the dark incident. Under his persistence, the three boys end up visiting the site where Tarou was held hostage as a child: a decrepit hospital beyond the dam. The three venture forward to face their pasts and fears, unsuspecting of the bizarre world they are about to enter...
Though very different plot-wise, these two anime center around technology and a group of diverse characters. "Psycho-pass" is too new to be judged well, but I personally prefer the intelligence and thought-provoking themes of "Ghost Hound," while "P-p" is more fun.
In the near future, the outbreak of a terrible disease called the Apocolypse Virus places Japan under the military rule of a global organization called the GHQ - a group tasked with checking the spread of the virus and administering vaccinations. Apathetic high school student Shuu Ouma lives in Tokyo, spending his days editing videos and trying to be left alone. But things change when he meets the beautiful pop idol, Inori, who is on the run from GHQ soldiers. While trying to save her from her captors, he acquires a mysterious power called the Void Gene that allows him to pull items or weapons from anyone under the age of seventeen. Now, Shuu must decide whether to join the efforts of the well-funded radical terrorist group "Funeral Parlor" and fight against the GHQ, or shrug off his newfound power and resume his normal life - assuming that either the GHQ or Funeral Parlor's charismatic leader, Gai, will let him.
The settings of both series seem to be the same: dark, gritty, and futuristic with some pretty kick-ass technology. That aside, the animation in both seem pretty top-notch, the music is amazing (in fact, the ED theme in Psycho-Pass is performed by EGOIST, a fictional band within Guilty Crown created by ryo of supercell with the vocalist Chelly), and both seem to have protagonists who seem to be initially weak in the sense of fighting, but are called upon to fight anyways. I should probably add that these are both Production I.G. anime, so I suppose its only natural that the animation seems so similar.