The Self-Defense Force Goes to Another World
A mysterious gate suddenly appears in Ginza, Tokyo where fantasy creatures led by men in Roman armor come out from it and attack the people. Yōji Itami, a JSDF reservist, who was attending a nearby doujin convention, takes action by organizing the police to evacuate the civilians into a palace to protect them before the JSDF arrives to stop the invaders. Due to his actions, Itami is promoted to First Lieutenant and celebrated as a national hero. The appearance of the Gate and massacre of Japanese civilians, dubbed the Ginza Incident, prompts the Incumbent Prime Minister to takes action by proclaiming Japan will send a JSDF task force backed by the US to the "Special Region", the world beyond the Gate, to not only explore the new world but also capture and demand reparations from those responsible for the attack.
Aired 04/07/2015EP 1 - The Self-Defense Force Goes to Another World

Gate
The military fantasy series begins when a gate appears in Tokyo's Ginza district sometime in the 21st century. From the gate pours out monsters, knights from middle-age Europe, and other fantasy-like beings, and they kill many of the citizens of Tokyo. This event is known as the Ginza Incident.
The government sends a small group of soldiers from the Japanese Self-Defense Forces (a replacement for Japan's military) to the alternate world beyond the gate. Led by otaku soldier Youji, they find that the villages in the world are being attacked by a dragon. An elf girl who is a survivor from the dragon's rampage joins the group in their travels across the dangerous new world.
(Source: Anime News Network)