OP image (and first 50 seconds of that video) is a Music clip project, which is completely new animation set to songs from the show. Directed by different people.
雨宮哲 - Akira Amemiya - Uniting Can Go Fuck Off!! (Disk 1 Track 23)
板垣伸 - Shin Itagaki - Rap Is A Man's Soul! (Disk 1 Track 3)
小島大和 - Hirokazu Kojima - Boing VS Boing (Disk 1 Track 5)
SUEZEN - Fumio Iida - Baf Baf! Do You Like Being That...Fired Up? (Disk 2 Track 6)
益山亮司 - Ryouji Masuyama - Thrust Through The Heavens With Your XXX! (Disk 2 Track 25)
山賀博之 - Hiroyuki Yamaga - "Libera Me" From Hell (Disk 2 Track 22)
吉成曜 - You Yoshinari - All You Bastards, Get Fired Up!!! (Disk 1 Track 14)
渡辺敬介 - Keisuke Watanabe - Rap Is A Man's Soul! (Disk 2 Track 2)
The movie we don't know much about, other than they're redoing dialogue, using clips from the show, and also using new animation. They specifically said "It won't be a simple summary." So it's not a recap.