Here are my top picks for anime like Gate: Jieitai Kano Chi nite, Kaku Tatakaeri. The list is in no particular order. Check out these recommendations!
Outbreak Company
Shinichi Kanou is a young secluded Otaku who is offered a job thanks to his vast knowledge of anime, video games and manga and just after meeting his new employer, he is kidnapped, awakening in an alternate world with a fantasy setup. Shinichi then is informed that he was in fact selected by the Japanese government to help improve his country’s relations with this new world by establishing a company to spread the unique products of the Japanese culture to this new, unexplored market.
World Trigger
One day a gate to another world opened in Mikado City. This entities of the other world, called Neighbors, sent out an invasion force that overran the area surrounding the gate. Given the technological superiority of the Neighbors, the destruction of the city seemed only a matter of time. But then suddenly Border appeared in the town, an organization that researches the technology of the Neighbors to protect this side of the gate.
In a short time they built a huge base and became established as the line of defense against the Neighbors. One day a student named Yūma transfers to the same middle-school class as Osamu, a teenager who belongs to Border. He has a weapon called Trigger that is only allowed to be possessed by people in Border, and claims to have come from beyond the gate.
The Familiar of Zero
Meet Louise, a budding magician. The students at the Tristein Academy call her “Zero Louise”, due to her current record of zero successes with magic. In fact, her magic tends to go spectacularly wrong. Now, as an important test of her aptitude for magic, she must summon a familiar to be her servant. At this critical moment, she summons up all her magic and wishes for a familiar that is “devoted, beautiful and powerful”, and gets… Hiraga Saito, an ordinary Japanese boy. It’s difficult to say who is more surprised and dismayed, but the rules don’t allow for second attempts. Louise is stuck with her strange familiar, and he with her.
Z/X Ignition
Five “Black Points” suddenly appeared around the world as portals to parallel worlds. Immediately after, strange creatures began their invasion from these portals. These creatures are the inhabitants of five worlds—the same worlds in different timeframes. In order to ensure their own future timeframe survives, each of the five invasion forces battle to wipe the other future timeframes out. The key is one card-shaped device.
Tenchi Muyo!
Tenchi Masaki may be a 17-year-old young man in rural Japan, but little does he know how bad his day will be getting. When a space pirate chased by a pair of Galaxy Police officers crash-lands at his grandfather’s temple, Tenchi is sucked into a new adventure that will literally blast him off into outer space and beyond.
The Heroic Legend of Arslan
In the prosperous kingdom of Pars lies the Royal Capital of Ecbatana, a city of splendor and wonder, ruled by the undefeated and fearsome King Andragoras. Arslan is the young and curious prince of Pars who, despite his best efforts, doesn’t seem to have what it takes to be a proper king like his father.
At the age of 14, Arslan goes to his first battle and loses everything as the blood-soaked mist of war gives way to scorching flames, bringing him to face the demise of his once glorious kingdom. However, it is Arslan’s destiny to be a ruler, and despite the trials that face him, he must now embark on a journey to reclaim his fallen kingdom.
Overlord
In the year 2138, virtual reality gaming is booming. Yggdrasil, a popular online game is quietly shut down one day. However, one player named Momonga decides to not log out. Momonga is then transformed into the image of a skeleton as “the most powerful wizard.” The world continues to change, with non-player characters (NPCs) beginning to feel emotion. Having no parents, friends, or place in society, this ordinary young man Momonga then strives to take over the new world the game has become.
Utawarerumono
Everything about him is shrouded in mystery. The mask he can’t remove. The past he can’t unravel. And the very survival of the people who have chosen him as their leader. But what Hakuoro does know is this: he was gravely injured and left for dead in a forest. A kind young girl named Eruruu found him and nursed him back to health. He was welcomed into a barren land where strange creatures roam, an angry god seeks vengeance, an oppressive government slaughters the innocent, and a bloody war looms on the horizon. Will the masked hero liberate the people who saved him? Can he unlock the memories that elude him? Or will he remain a stranger even to himself? (Source: FUNimation)
Log Horizon
In the blink of an eye, thirty thousand bewildered Japanese gamers are whisked from their everyday lives into the world of the popular MMORPG, Elder Tale, after the game’s latest update—unable to log out. Among them is the socially awkward college student Shiroe, whose confusion and shock lasts only a moment as, a veteran of the game, he immediately sets out to explore the limits of his new reality.
Shiroe must learn to live in this new world, leading others and negotiating with the NPC “natives” in order to bring stability to the virtual city of Akihabara. He is joined by his unfortunate friend Naotsugu, having logged in for the first time in years only to find himself trapped, and Akatsuki, a petite but fierce assassin who labels Shiroe as her master. A tale of fantasy, adventure, and politics,Log Horizon explores the elements of gaming through the eyes of a master strategist who attempts to make the best of a puzzling situation. [Written by MAL Rewrite]
Elf wo Karu Mono-tachi
An actor, a martial artist, a gun-crazy high school student, and their tank are transported from earth to a world of elves and magic. However, the spell to return them home was botched resulting in fragments of the spell being magicly imprinted onto their skin. Their solution: run around looking for elves and stripping them whereever they find them. (Source: ANN)
References: ANN, MyAnimeList, Wiki