This is simply the OVA summing up the major events and battles of Initial D 4th Stage much like the Initial D Battle Stage original summed up the first 3 seasons. Additionally, has 2 extra battles from the manga that were not incorporated into the original 4th Stage. (Source: ANN)

A project was launched where scientists discovered a mysterious substance that can interface directly with the human brain. This substance, called Exotic Matter (XM), has existed since ancient times, influencing human minds and the progress of humanity. In the wake of this discovery, a battle of powerful nations and corporate giants has been unleashed. Organizations across the globe have embarked on a secret race to exploit XM. It represents both an opportunity and a threat to humanity. Two Factions seeks to control the XM. The Enlightened view XM's power as a gift that enhances human experience and discovery. The Resistance sees XM as a hostile takeover of the human mind, choosing technology as humanity's best path forward. XM, and the mystery behind it lie at the center of this battle for the fate of humanity. 2018—Now, a new struggle is about to unfold in Tokyo and across the globe. Dangerous and powerful forces seeking to exploit the potential of XM will collide. This groundbreaking project will mark the beginning of an epic augmented-reality experience combining the three elements of animation, location-based gaming, and the real world. (Source: MAL News)

Emi is a seventeen-year-old girl living in Shibuya. Her father is always away with work and she's grown listless. Suddenly, a twist of fate involving a certain magical item changes everything. A mysterious pencil, of all things, is linked to the appearance of heroes from another world! Could this be the start to the excitement she's so desperately craving, or is there something more? (Source: VIZ Media)

Keith, George, Edward, Yang and Shaw are Platoon #801, the five-man team formed to protect their homeworld in the Inferious galaxy from alien invasion. Gazaria's evil emperor Vince conquers the neighbor worlds of Kal and Granad, and suddenly only Platoon #801, also known as Condition Green, stands between him and the conquest of Emerald Earth. (Source: The Anime Encyclopedia)