First THE BOSS BABY Trailer Enjoy the first BOSS BABY trailer! The film, directed by Tom McGrath (Megamind, Madagascar), stars the voice talents of Alec Baldwin, Lisa Kudrow, Steve Buscemi, Tobey Maguire, and Jimmy Kimmel. BOSS BABY will be released in theaters on March 31. A suit-wearing briefcase-carrying baby pairs up with his seven-year old brother to stop the dastardly plot of the CEO of Puppy Co.