Bursts of energy, sworn enemies fighting throughout history; a select few or the protagonist surrounded by normal people; the world in danger, a constant need to prove one's strength. Subgenre of action or fantasy, usually.

A Certain Magical Index

25 min, 74 episodes, 3 season \ super power - action - magic - sci-fi

A Certain Scientific Railgun T

24 min, 25 episodes, 1 season \ yuri - super power - action - sci-fi

Attack on Titan

24 min, 75 episodes, 4 seasons \ splatter - drama - shounen - fantasy - super power - military - action - post-apocalyptic

Astro Boy

25 min, 50 episodes, 1 season \ mecha - action - sci-fi - adventure - kids - super power - shounen

Baka and Test

24 min, 26 episodes, 2 seasons \ hentai - comedy - romance - school - super power

Bleach

25 min, 366 episodes, 16 seasons \ shounen - supernatural - super power - adventure - comedy

Blood Blockade Battlefront

22 min, 24 episodes, 2 seasons \ super power - action - comedy - fantasy - shounen - vampire - supernatural

BNA

23 min, 12 episodes, 1 season \ super power - action - fantasy

Bungou Stray Dogs

24 min, 36 episodes, 2 seasons \ super power - action - comedy - mystery - seinen - supernatural

Charlotte

25 min, 13 episodes, 1 season \ super power - drama - school

Claymore

25 min, 26 episodes, 1 season \ demons - action - adventure - super power - supernatural - fantasy - shounen

Code Geass

24 min, 50 episodes, 2 seasons \ mecha - action - military - sci-fi - super power - drama - school

Darker than Black: Gemini of the Meteor

25 min, 12 episodes, 1 season \ mystery - sci-fi - action - super power

Darwin's Game

25 min, 11 episodes, 1 season \ shounen - mystery - sci-fi - super power - action

Dragon Ball

25 min, 153 episodes, 6 seasons \ super power - adventure - comedy - shounen - martial arts

Dragon Quest: The Adventure of Dai

24 min, 25 episodes, 1 season \ shounen - action - adventure - fantasy - super power

DRAMAtical murder

24 min, 12 episodes, 1 season \ shounen-ai - action - psychological - sci-fi - super power - action

Ga-Rei Zero

24 min, 12 episodes, 1 season \ demons - action - super power - supernatural - thriller

Hunter x Hunter

23 min, 148 episodes, 3 seasons \ martial arts - action - adventure - super power - shounen - fantasy

Ikkitousen: Western Wolves

30 min, 1 episode, 1 season \ school - super power - seinen - martial arts - action - ecchi

Katekyo Hitman Reborn!

23 min, 200 episodes, 9 seasons \ super power - action - comedy - shounen

Kill La Kill

25 min, 24 episodes, 1 season \ ecchi - action - super power - school - comedy

K-Project

24 min, 26 episodes, 2 season \ school - action - mystery - super power - supernatural

Maken-ki

25 min, 22 episodes, 2 seasons \ harem - action - ecchi - school - martial arts - super power

Mob Pshycho 100

24 min, 25 episodes, 2 seasons \ super power - action - slice of life - comedy - supernatural

My Hero Academia

25 min, 100 episodes, 5 seasons \ super power - action - comedy - school - shounen

Naruto

25 min, 220 episodes, 5 seasons \ shounen - martial arts - super power - comedy - action

Night Raid 1931

24 min, 13 episodes, 1 season \ historical - action - military - super power

One Piece

25 min, 957 episodes, 21 seasons \ shounen - action - super power - drama - fantasy

One Punch Man

25 min, 24 episodes, 2 seasons \ parody - action - sci-fi - supernatural - super power - supernatural

Owarimonogatari

24 min, 21 episodes, 3 seasons \ super power - mystery - comedy - supernatural - vampire

Pretear

25 min, 13 episodes, 1 season - \ reverse harem - comedy - drama - shoujo - fantasy - super power - romance 

Samurai Flamenco

25 min, 22 episodes, 1 season \ parody - comedy - action - super power

Samurai Kings

25 min, 36 episodes, 3 seasons \ historical - action - martial arts - super power - samurai

Scar on the Praeter

24 min, 11 episodes, 1 season \ super power - action

Sekirei

24 min, 25 episodes 2 seasons \ harem - action - comedy - ecchi - super power

Talentless Nana

24 min, 13 episodes, 1 season \ psychological - shounen - supernatural - super power - thriller

The Disastrous Life of Saiki K.

24 min, 48 episodes, 2 seasons \ parody - school - shounen - slice of life - supernatural - super power

This Boy Can Fight Aliens

30 min, 1 episode, 1 season \ yaoi - super power - supernatural - action - fantasy

Tiger and Bunny

25 min, 25 episodes, 1 season \ yaoi - action - mystery - comedy - super power

Toriko

25 min, 147 episodes, 3 seasons \ super power - action - adventure - comedy - fantasy - shounen

Wicked City

1h 20 min, 1 episode, 1 season \ super power - horror - drama - demons - adventure - action