It's not a "serial killer" show in the way the others are, but it's a serial killer show nonetheless. Barry follows Bill Hader as the titular character (in the best role of his career, for which he won an Emmy last year), a hitman who wants to become an actor. However, granted the fact that he's, well, a hitman, he has the police and investigators constantly on his tail.
It's a brilliant inversion; this could easily be a cop show hunting for a ruthless murderer, had it taken place from the cops' perspective. Instead, it's from the killer's perspective, and he's just a goofball who wants to be an actor.
