The official Twitter for Date a live Anime Revealed the Anime Series will Have a Season 5 and it’s in already in production. The announcement was made right after Season 4 ended of the Series. Date a live Season 5 Titled as Date A Live V.
The first season of the Series Came out Back in 2013 and 2nd 2014. The Anime Made from Light Novel Written By Koshi Tachibana. You can watch the Show on Crunchyroll.
Myanimelist describe the story-
Thirty years ago, the Eurasian continent was devastated by a supermassive “spatial quake” a phenomenon involving space vibrations of unknown origin resulting in the deaths of over 150 million people. Since then, these quakes have been plaguing the world intermittently, albeit on a lighter scale. Shidou Itsuka is a seemingly average high school student who lives with his younger sister, Kotori. When an imminent spatial quake threatens the safety of Tengu City, he rushes to save her, only to be caught in the resulting eruption. He discovers a mysterious girl at its source, who is revealed to be a “Spirit,” an otherworldly entity whose appearance triggers a spatial quake. Soon after, he becomes embroiled in a skirmish between the girl and the Anti-Spirit Team, a ruthless strike force with the goal of annihilating Spirits.
Source: Official Twitter