19 [Similar Anime] Like Id:Invaded

Both female protagonists are similar. They both are not the annoying obsessed with the goody two shoes type justice. They don’t look down on their seniors who are (latent)criminals. They both are always very positive and friendly and pretty much never act afraid no matter what happens. They might first come off as being simple or weak but then surprise those people with their mental strength, dedication, and knowledge.
Both shows have a male lead who is a criminal ("murderer"/"latent criminal"). And that male lead is a senior to the female protagonist and has been demoted from being a detective/police officer to a criminal used as a tool for understanding and fighting against other criminals after a traumatic loss.
Both shows include psychological concepts and analysis, especially of criminals.
Both shows have a older senior male detective who partners with the female protagonist. They don’t look down on the female protagonist for being a newbie. And somehow they both have an instant connection/bond/understanding with the female.

Id Invaded is very similar to psycho pass in a lot of ways : The plot, The settings and it's part of the same genre. Id Invaded has a realy unique concept (The Mizuhanome System); the anime contains a lot of mind games wich are not incredible in my opinion but just fine. Overhaul it's a pretty good show so if you'r a fan of Psycho pass you'll probably enjoy this.

An eccentric person who jumps into the people's minds using a special device, alter ego with different behavior and goals, psychological aspects, mystery, absurd action, pretty obvious villain - combine all of them into one and you'll get Paprika. Add cheap graphics, weird character designs, and plot holes, and you'll get Id: Invaded. Enjoy!

The events are running in a world of advanced technology, criminals are psychopath , both shows focus more on the moral side of society and the meaning of justice rather than revealing the criminal, Main character has an obsession of revenge

Detectives working separate cases realize that certain mysteries are related, leading to a deeper darker conspiracy. Police-work is aided by high-tech.

Hunt for the serial killer. Id:Invaded and Erased both give Sakaido and Satoru respectively a task in which they both have to find a serial killer.

Both based on sci-fi mystery with some thriller elements, where a group of detectives try to solve a puzzle to find a murderer. Also the main character is a genius detective, and lost his close relative due to a suspected killer.

They both have the same vibe in a sense of a mystery puzzle. As mentioned in the anime(I think it was mentioned), they feed you information that is not useful alone, where you'll need to collect each piece to understand said Mystery.

Deductions. L and Sakaido are both great detectives who are used to deduce their surroundings in order to hunt down for a serial killers Kira and John Walker respectively.

Detectives. Id:Invaded and Terror in Resonance both follow detectives trying to locate dangerous people.

Both use the sci-fi setting to explore traumas of their characters, focusing more on them than the main plot
Also both have really characteristic artstyles

If you're fond of delving deep into the psyche and into society's shrouded nature, of the air of mystery where you the viewer can contribute to solving the mystery, and of staying alert through a fast-paced narrative that feels comfortable, detailed, and mentally stimulating - then shinsekai yori is for you.

Both are about a detective solving a murder case in a world of sci-fi

The tone and genres are different but they're both shows about diving into minds/subconscious of others.

Both shows explore specific sci-fi concepts to tell mystery-thiller stories involving police work to solve a variety of cases supported by tightly written dense scripts and screenplay.
(this obviously also heavily includes 2nd GIG as a recommendation)

Spoiler-Free reasons:
-A badass highly perceptive MC
-The "escape-room" feeling every episode
-The well-written relation between Maths/Physics with cases
-The inevitable danger that scales with episode count in both series
-More highly competent main characters the further this gets
Differences:
-ID:Invaded is much much darker, for more mature audiences as it has violence / even gore at some points / real Psychological tag.

Exploring the depths of the psyche by use of a different world and investigating the truth of serial murders are both high points of intrigue, which both Persona 4 the Animation and Id:Invaded offer extensively as key components to their plots.

Both shows are inspired by Sherlock Holmes.
Both are really good murder mystery stories.
Both main characters think meticulously to solve the case.

Both are about detective solving murder cases with some crazy situations, mad criminals with crazy ideals.

They both center around trying to solve something, but in this show they solve paranormal things.