The first set of the show received a regular end limited edition release while the second was a standard edition that fits into the limited edition of the first.
Funimation had their release of Bungo Stray Dogs out back in March 2018 for the first season while the second landed in September 2018.
That man is Dazai Osamu, and he and his partner Kunikida are members of a very special detective agency.
Bungo Stray Dogs Season Two - Official Clip - Demon Snow