A gate to another dimension has burst open, and from it emerge gigantic invincible creatures that threaten all of humanity. Earth's only defense is a mysterious group of warriors who have co-opted the alien technology in order to fight back! 
(Source: Viz Media)

One day, a gate to another world suddenly opens in Mikado City. Aliens invincible to Earth’s weapons, called “Neighbors”, start coming over. Earth’s only line of defense is a mysterious group called the “Border” who are armed with weapons called “Triggers”. 
 
Four years later, the city has recovered from initial attacks and citizens of Mikado City have started to get used to the Neighbor’s attacks. Yuma Kuga, a transfer student, and his classmate Osamu Mikumo find themselves fighting a Neighbor that suddenly appears. Osamu, who is actually a Border agent, activates his Trigger but is unable to defeat it. This leaves Yuma to activate his own Trigger and defeat the alien. Yuma reveals that he is not part of Border and is actually a Neighbor who has transferred from the other side. 
 
(Source: Crunchyroll)

The second season of World Trigger. 
 
The border defense organization "Border" was established to fight against the attacks of the "Neighbors" who possess unknown power. 
Osamu Mikumo, a member of the Border, forms the Mikumo Squad with Yuma Kuga, a Neighbor who he met by chance, and his childhood friend Chika Ametori, and they struggle to win the internal Border rankings in order to join the expeditionary force to the Neighborhood. 
 
(Source: Toei Animation)

First precursor to what would later become World Trigger.

Creatures from another dimension have invaded Earth! Earth weapons are useless against these 'Neighbors,' but some scientists have created new weapons based on the enemy's technology. Using these weapons, humans struggle to defend themselves from the invaders. The head of the central base has sent the ace soldier, Yuuichi Jin, to help out the failing Base 7, and rescue his son Yuiga Tadashi, who is the leader there. Unfortunately, the problem with Base 7 is, in fact, Yuiga Tadashi. He's a terrible leader who cares for nothing but his own reputation and believes that being the central base leader's son allows him to do whatever he wants. Will Jin be able to fix this terrible situation? 
(Source: MangaHelpers)

The third season of World Trigger. 
 
With Hyuse joining the Tamakoma Squad, the rank wars are continuing and the Tamakoma squad are striving to get selected for the Away Missions.

Yukihira Souma's dream is to become a full-time chef in his father's restaurant and surpass his father's culinary skill. But just as Yukihira graduates from middle schools his father, Yukihira Jouichirou, closes down the restaurant to cook in Europe. Although downtrodden, Souma's fighting spirit is rekindled by a challenge from Jouichirou which is to survive in an elite culinary school where only 10% of the students graduate. Can Souma survive? 
(Source: Population GO) 
Included side stories: 
Volume 1: Shokugeki no Souma (pilot). 
Volume 3: Kimi to Watashi no Renai Soudan. 
Volume 8: Natsuyasumi no Erina. 
Volume 13: Shokugeki no Soma X Isobe Isobee Monogatari. 
Volume 13: Betsubara! #1 & #2 (counts as one chapter). 
Volume 15: Betsubara! #3 & #4 (counts as one chapter). 
Volume 20: Betsubara! #5. 
Volume 21: Betsubara! #6 & #7 (counts as one chapter). 
Volume 31: Kareinaru Bansankai.

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