X-Men

Both anime feature people with "supernatural" powers fighting against normal people and others with "supernatural" powers. One group cares for and protects humanity while the other group cares nothing for human life and only wishes to strengthen their own power. In "Tokyo ESP" the supernatural powers are described as being ESP while in "X-Men" the powers are described as "Mutations". Both also take place in real places.  

Very similar powers and theme: This is for both Zettai Karen Children series and The Unlimited Hyoubu Kyousuke series - We have an organization/ group similar to Professor X School for Mutants---ZKC-BABEL who want to create a world where Espers and Normals can coesist. Similar to Mutants and Humans in X-Men. Here they train Espers to use their powers for good while there are evil people who use them too. Another organization/ group similar to Magneto. In ZKC/Kyousuke is called PANDRA. PANDRA wants to recruit Esper who are being hated by humans and want to give them freedom. A place for them to use their powers without being feared or killed. But on the upside, PANDRA/Magneto wants to start a war with Esper/Mutants---Normals/Non-Mutants.  read more 

"Akame ga Kill!" and "X-Men" involve a team of powerful heroes each with their own unique abilities setting out to defeat the overwhelming force of evil and restore justice. Both series are focused on action and contain materials regarding body-manipulations, whether it was via surgical or genetic methods. 

Darker Than Black and X-Men are about a group of beings with supernatural powers that contains many mysteries yet to be revealed. In addition, discrimination plays a role between those with power and no power. 

both works deal with a society with heroes, in boku no hero the heroes are natural, in x-man, mutants are seen as aberrations, in both there are good and bad superhero organizations, in both there are schools of superheroes heroes. In short Boku no hero is a Japanese version of x-man. 

Both series have characters with special abilities who work together as a team. 

Both Marvel [and Stan Lee was Executive Producer] Both have a lot of action Logan plays a big part in both 

Both animes relate to characters who have "superpowers" or are above average humans in some way. Many of the characters in both of the series sometimes struggle to come to terms with their powers. 

Both have individuals with special abilities working together as a team, set in the modern times. Both shows also deal with prejudice of those with special abilities.  

NEXT = Mutants.