Cop drama is a crowded genre and audience might be reluctant to invest on a new one if there's no instant hook. While "Lucky Man" has Stan Lee advertised on its title, it's not a superhero series, it's borderline investigation thriller with a pinch of supernatural gimmick. It doesn't take the genre by storm, but what it does have is nifty stylish approach sufficient to create a different tone.
Harry (James Nesbitt) is a detective with vices, he has problem with gambling, among others. One night she meets a lady, and thus his luck changes. The good point about Harry is he's not created to pander the audience. He's not a single parent or other sympathy-grabbing character, he's rude in a anti-hero kind of way. This is not a buddy cop drama either, at least not entirely since the main focus remains on Harry while any aide takes largely supportive role.
The more unworldly aspect is done with care, it's far from Supernatural or Constantine, yet manages to put surreal ambiance to the plot. Events occur both in the favor or disfavor of the main lead, so in more way than one it affects his personal and work life. The case in hand is approachable and kept in check in steady flow, which is proper since it has to cater for different elements.
Location is presented nicely, there's ample visual cue for each important set-piece and they are shown quite stylishly. Script also does a fine job in creating tension and intrigue or effectively introducing characters. However, the show does have a bit of problems. The slow pace at some scene might not be appealing and those seeking for more colorful spectacle might find little heroism or spark here. The case itself needs time to gain momentum, this is not Agatha Christie style that can immediately grasps people's attention.
While some flaws still remain, "Lucky Man" might just roll the right number of mystery and thriller to at least have the chance to hit the jackpot.