The year is 1983. The Cold War is in full effect, and humanity is under attack. Strange aliens, given the name "BETA," have descended to Earth with the goal of destroying all life. Soldiers have been tasked with piloting large combat suits called Tactical Surface Fighters (TSF) to repel the alien invaders, but the front line is slowly being pushed back towards the surviving cities. Schwarzesmarken follows the story of Second Lieutenant Theodor Eberbach and the other members of the 666th TSF squadron, a ruthless unit that values a mission's completion over human life. Stationed in East Germany and led by war hero Captain Irisdina Bernhard, the unit specializes in counterassault attacks on laser-class BETA. But the 666th squadron finds itself with more enemies than just the alien forces when optimistic rookie Katia Waldheim joins the squadron, drawing the attention of East Germany's secret police, the Stasi. [Written by MAL Rewrite]

As Yoko has her assistant scour the seabed in search of something, Madoka, unable to pilot Midori properly again, returns to Kamogawa to see the New Year in. Upon returning home, Madoka receives New Year's letters from Lan and Muginami, updating her about what's going on in their lives, to which Madoka makes a prompt reply. As the months pass by and Madoka moves up a year in school, Lan and Muginami visit an intergalactic replica of Kamogawa on the tourist planet Polyhedron. Takes place between seasons 1 and 2. (Source: Wikipedia)

On a sunny day, Mihoshi Kuramitsu decides to take a peaceful nap while everyone else does chores. Sick of Mihoshi's laziness, Aeka Jurai Masaki questions her capability as a Galaxy Police Officer. Her pride wounded, Mihoshi decides to prove that she is a skilled first class detective by telling the story of how she and her partner, Kiyone Makibi, put a stop to a series of thefts involving Ultra Energy Matter. To make it more fun, Mihoshi inserts Tenchi Masaki and the others into her story. However, her fantastical tale may just demonstrate her lack of a grip on reality rather than showcase her accomplishment as a talented officer.

Recap of Sword Art Online: Alicization - War of Underworld.