If you liked the Eve no Jikan anime, the Anime-Planet community thinks you'd like:
In the future, a system called Sibyl presides over the country and provides order to every facet of life. It dictates which job fields citizens should go into based on aptitude tests, and can even read each resident's mental state and predict which ones are likely to commit crimes in the future. Fresh from exams, Akane Tsunemori is beginning her career as an Inspector, a specialized police officer who works to apprehend these latent criminals and stop crimes before they happen. But not all that get caught are eliminated or jailed, some join the police force as Enforcers to provide insight into criminals’ minds, and Akane is warned not to get too close to them, as they're considered little more than hunting dogs. Though skeptical of this advice, and Sibyl's judgement, Akane is determined to work together with her Enforcers to protect the peace of her city and its inhabitants.
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.
"I have only abandoned my body, I still live here" - are the words emailed to friends of Chisa, several days after her death by suicide. As Lain delves deeper into the world of the "Wired" (also known as the internet), the line between it and reality becomes more and more unclear. Close the world, open the nExt.
Makoto Konno is a somewhat foolish and tomboyish high school student who spends most of her time hanging out with her two male friends. Things change one day when she suddenly gains the ability to leap through time! At first, she uses her newfound ability to do things such as preventing her sister from stealing her dessert, cheating on a test, and singing Karaoke for 10 hours. However, the small alterations she makes to the timeline turn out to have unforeseen consequences that snowball into dramatic and lethal situations for her and those around her...
First and foremost, both anime well fleshed-out, interesting, believable characters that pulled me in. The feel of the anime were similar--both take place in a modern (or post-modern) setting with high school-aged chracters. Except for the time-jumping in the one and androids (plus some other post-modern gadgetry) in the other, they could have taken place in Japan today.
And most importantly, they both left me with a really happy feeling after watching them.