The story takes place after the field training arc in the second season, and revolves around a practice session between Izuku's class and Isami High students at Yuuei Academy. 

Note: This OVA was bundled with the 14th volume of the manga

UA High School must regain the public's confidence after the surprise villain attack during class 1-A's training session. Although some of the teachers were gravely injured in the attack, Izuku "Deku" Midoriya and his classmates must continue to learn and train, and utilize their quirks in varying environments and circumstances. 

Boku no Hero Academia: Sukue! Kyuujo Kunren! follows class 1-A as they attempt to finally complete their training. However, there's a masked figure roaming around the training center. Have the villains responsible for the previous incident returned to finish the job? If so, are the students ready to fight back? 

(Source: MAL Rewrite) 

(Note: This OVA was initially screened at Jump Festa 2016 on November 27, 2016. The OVA was later bundled with the 13th volume of the manga, released on April 4, 2017.)

In the year 2205, the past becomes threatened by the historical revisionists who seek to change it. Protecting history becomes the task of a boisterous band of swords that are brought to life, including the glamorous Kashu Kiyomitsu and the kindly Yamatonokami Yasusada. Beyond their battles, these legendary swords from different eras lead charming daily lives. 

(Source: Crunchyroll)

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