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

Short OVAs included with the Blu-ray/DVD release of Boku no Hero Academia the Movie: Futari no Hero.
Episode 1 is a short animation about All Might's past.
Episode 2 is an epilogue picture drama for Boku no Hero Academia the Movie: Futari no Hero.

The historical novel series depicts Heizou Hasegawa, who metes justice on wrongdoers and supervises the crackdown on arsonists and robbers in Japan's Edo period (1603-1868).
 
(Source: Anime News Network)

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.)

Prepare to enter the realm of fantasy and imagination where reality and dreams collide in a kaleidoscopic mindscape of sheer visual genius. The magical tale centers on a revolutionary machine that allows scientists to enter and record a subject's dream. After being stolen, a fearless detective and brilliant therapist join forces to recover the device before it falls into the hands of a dream terrorist. 
 
(Source: Sony Pictures Home Entertainment) 
 
Note: The film received an early premiere at the 63rd Venice International Film Festival on September 2, 2006.

Millennium Actress blurs the lines between the past and the present, and truth and fiction, when a documentary filmmaker fulfills his quest to find the legendary actress Chiyoko Fujiwara, and learn why she mysteriously vanished at the height of her brilliant career. When Chiyoko grants the filmmaker’s request, he, in turn, presents her with a token – a key she had lost and thought was gone forever. The filmmaker could not have imagined that the key would not only unlock the long-held secrets of Chiyoko’s life, but also his own. 
 
(Source: Dreamworks) 
 
Note: The film received an early premiere at the Fantasia Film Festival on July 28, 2001.

In modern-day Tokyo, three homeless people’s lives are changed forever when they discover a baby girl at a garbage dump on Christmas Eve. As the New Year fast approaches, these three forgotten members of society band together to solve the mystery of the abandoned child and the fate of her parents. Along the way, encounters with seemingly unrelated events and people force them to confront their own haunted pasts, as they learn to face their future, together. 
 
(Source: Shout! Factory) 
 
Note: The film received an early premiere at the Big Apple Anime Fest on August 30, 2003.

Rising pop star Mima has quit singing to pursue a career as an actress and model, but her fans aren’t ready to see her go... Encouraged by her managers, Mima takes on a recurring role on a popular TV show, when suddenly her handlers and collaborators begin turning up murdered. Harboring feelings of guilt and haunted by visions of her former self, Mima’s reality and fantasy meld into a frenzied paranoia. As her stalker closes in, in person and online, the threat he poses is more real than even Mima knows, in this iconic psychological thriller that has frequently been hailed as one of the most important animated films of all time. 
 
(Source: Shout! Factory) 
 
Note: The film received an early premiere at the Fantasia Film Festival on August 5, 1997.

An elementary school kid dubbed with the title "shounen bat" or "lil slugger" has been going around attacking people with his bent, golden bat. Now, two detectives are investigating so they can stop this kid from making any more attacks, but they will find out soon enough... that this case is much more than they expected. 
(Source: Anime News Network)

Techno Sound