Johan Liebert, the eponymous character of Monster, is arguably the poster boy for this trope. You may appreciate his abilities as a Manipulative Bastard and Chessmaster, and you may consider his scenes the best in the series, but the extremes that he goes to (such as teaching kids to play chicken on ledges, or sending a boy looking for his mother in a red light district, or killing people who took him in and cared for him) completely negate any sympathy that his Freudian Excuse could elicit in the audience.
However, as discussed in the analysis page, he is also a thorough deconstruction of the trope, as one of the major goals of the series is to examine whether any human at all, regardless of everything horrifying that he's ever done, is irredeemably and irrevocably evil. This is also illustrated with Franz Bonaparta, the man responsible, directly and indirectly, for what Johan had become.
Played straight with several other psychopaths. For example, Hartmann, who helped run 511 Kinderheim and physically abused Dieter, a child—he just sees him as a failed attempt to produce another Johan. With quotes like "There's no way we could have ever created such a work of art," (referring to Johan), "You must try to become more like Johan," (talking to Dieter), and scenes like this◊, finding anything good about this guy is simply futile.
