The Last Detective is a British series that combines good detective stories with a character study and a fair bit of humor especially for the genre.
Detective "Dangerous" Davies (Peter Davison) has the lowly rank of Constable despite having reached his middle years, he is kind and considerate to everyone, but his colleagues have mockingly nicknamed him Dangerous and his superiors have overlooked him. In fact Davies boss Detective Inspector Aspinall has said he will consider Davies to be last detective, the last to be considered for any investigation unless it meaningless and boring, in which case he will be first.
Davies in the midst of an amicable divorce from his wife and they share custody of their massive dog. His closest friend Mod is both philosophical and underemployed, because of this he often acts as a sounding board for his friend both for aspects of his work and his personal life.
The cases are often lesser crimes as befits his rank but sometimes they develop into other cases altogether, it's also somewhat refreshing to see something other than a murder being investigated. Davies despite his poor reputation amongst his colleagues is a fairly good detective mostly as a result of hard work as opposed to intuitive leaps.
Overall the cast is quite good, the bulk of the screen time goes to Peter Davison and he is very effective in low-key role, Sean Hughes as the eccentric Mod is also quite good and next in screen time.
I believe the series is best appreciated by those who are well acquainted with the British Police/Detective series although it's certainly not necessary. The majority of those series place considerable emphasis on rank, feature crusty or disagreeable detectives who are tolerated for their abilities and have little humor.
The series has thus far run four seasons, all of which are now available on DVD.