A top fashion model is found at a construction site, apparently shot to death. When it is discovered that she was drowned before she was shot, Burke tracks the case back to her ditzy landlady, and then to the heads of the ad agency she was modeling for and the artist who was painting her likeness for a giant ad campaign. Getting involved with another model, Burke soon discovers a plush hideaway owned by three Texas millionaires who ""entertain"" gorgeous young women poolside (where the murder may have taken place). Even though he uncovers a blackmailing butler and information that an older admirer had paid for cosmetic surgery for the model, Burke is suddenly stumped when it is revealed that the water in the dead girl's lungs had orange blossom bath salts in it and not chlorine from the pool.

Hemingwayesque novelist Julian Buck is found dead and Burke checks out the guests at his funeral: his publisher, a former boxer, an ex-lover (who he ""traded"" for a plot), a bartender, a crippled university professor, and a glamorous blonde, all of whom have been used in the past by Buck as fodder for his plots. The manuscript of his latest novel (also based on facts from Buck's life) probably will contain the vital clue that will lead to the murderer.

At the opening of The Debonair Key Club, a Playboy-like nightclub/restaurant, Debonair Magazine founder Alex Debbs is found stabbed. The suspects are all connected in some way with the Debonair empire, both the club and the magazine: Debbs' main business partner, an embittered cartoonist, a swinging joke writer, a blackmailed princess, a folk guitarist, one of the Key Club girls, and a reclusive heiress. After an attack on Tim, another murder and the breaking of ""unbreakable"" alibis, Burke solves the case.

When millionaire Wade Walker's plane explodes mid-air, Burke confronts Walker's business partner, secretary (whom Tim has an eye for), and the four women in his life (a model and beauty pageant queen, a society horse breeder, a starchy, sex-obsessed nurse, and a nightclub singer), one of whom Walker may have proposed to just before he died. All of Burke's theories go up in smoke when it is discovered that Walker died of an overdose of morphine before the plane blew up.

Burke is attending a pool party at tycoon Victor Haggerty's mansion when dashing Beau Sparrow is thrown into the pool by a faulty diving apparatus and dies. The apparatus doesn't seem to have been tampered with and George McLeod can't determine the cause of death. Was it murder? If so, who's the killer: the tycoon, his spoiled pampered wife, her paid companion, the countess who was Beau's current flame, the tough-as-nails secretary, or the blowhard businessman? As soon as Burke figures out who the culprit is, he has to rush to prevent another death.

Tim's mother is in town for a visit and provides several vital clues that solve the murder of April Adams. Tracking the victim to a carhop-style restaurant, Burke narrows the suspects to April's erratic brother, her cousin, her psychiatrist, the drive-in restaurant's manager, and a hockey star and his wife. Empty sugar packets from the drive-in and several bankbooks provide Burke with the link to a drug deal.

A group of ""junior cadets"" discover the body of a bikini-clad girl wrapped in chains, lying in the surf. The victim, a singer and sometime ""model"", has been linked to a oil tycoon, who is away on business, according to his alcoholic wife. While the tycoon is busy with young girls, his wife is supporting male artists. One of these, a sculptor, comes under suspicion, along with his studio mate, a health freak. Other suspects include the owner of a beachfront club, a guitar maker and a folk singer. Two more bodies turn up before Burke can solve the case.

When pop artist Andy Zygmunt is discovered impaled on one of his works, Burke finds that several of Zygmunt's paintings contain materials used in a blackmail scheme. A vicious practical joker, the victim was hated by one and all: his sexy assistant, a former girlfriend (and fellow artist), the nasty host of a kiddie show, the head of a fashionable dog grooming salon, the scion of a wealthy family, and the arrogant owner of the art gallery (who also stars in a TV cop show that Burke despises).

A rose-covered cottage is the scene for the death of a seemingly ordinary housewife. Burke and Tim (who is contemplating settling down with his current girlfriend) soon discover that all is not what it seems in suburbia. The dead woman's husband, her totally gaga neighbor, a stripper with a boa constrictor, a flustered physician, several predatory landladies, a tennis bum, a couple of wigs, and the surly head of the Burglary Division all help to turn what at first seemed like just a slip in the bathtub into one of Burke's more complicated cases.

When an old flame of Burke's is gunned down, he uncovers the darker side of her relationship with several men. The former chauffeur for the victim's father, an old friend of the family, an philandering astronomer and his embittered wife, a free-wheeling B-girl, a vulgar jazz trumpeter - any one could have killed ""my girl"". The truth may lie in Diana's little black book. Les and Tim are worried that Burke is too close to the case to handle it rationally. Burke refuses their help. Only after he is attacked in his own home and, later, is forced to hear the truth about Diana's past, does Burke realize who the killer is, with the help of Les's wristwatch.

The co-owner of a fashion house is killed in an elevator collapse that may not have been an accident. Les is convinced that it is the work of a madman, since no one could have determined who would be in the elevator. In the midst of battles between the other owner and the company's chief designer, the tantrums of the designer's spoiled daughter, the problems of an elderly seamstress, the divorce plans of the victim's less-than grieving widow, the industrial espionage of a rival, and one real fancy ""floating crap game"", Burke thinks he has the case solved, until it is determined that the victim was dead before the elevator crashed, struck down by a strangely shaped blunt instrument. A military insignia provides the final clue to the case.

An up-and-coming actress dies while surfing, apparently from an obscure medieval poison. But how was it administered? When Burke is faced with an unfamiliar milieu, he sends Tim undercover as a surfer. The victim's grasping mother, a famous novelist, the one-armed owner of a beachfront bar, not one but two bikini-clad young women, and the owner of a surf shop, who had been having an affair with the victim, all come under suspicion. A speargun shoots a little too close to home before the killer is finally uncovered.

A showgirl jumps out of a cake at a stag party, only to discover all the guests dead. Each of the four wealthy men had a wife who had good reason to murder her own husband (one husband was abusive, one a ""weakling"", one was vulgar and unappreciative, and one an animal hater), but who would want to kill all four? Or could the killer be the stuffy country club secretary, who wanted the four men banned from the club and was in love with one of the not-so-grieving widows? And how to get rid of the showgirl, who insists that Burke and Tim take care of her?

Merlin the Great's famous escape-from-a-coffin trick backfires when it is discovered that he has been shot while ""buried"" in a hotel pool - but how was it done? and which of the rival magicians has a deadly trick up their sleeve? The only clues are a feather found on the body and the grave of someone named ""Miriam"". Whodunit? Was it the lovely magician's assistant, the escape artist, the fortune teller, the hotel doctor, the ventriloquist or the knife thrower? A phony seance exposes the real culprit.

A famous wrestler is slain during a charity match and the killer is one of five people seated in the ""Gold Row"": the victim's sister (who has a split personality), his wrestling rival, a fashionable socialite, a ""method"" sportswriter, and a very wealthy old lady with a strong affinity for wrestling violence. The weapon? - a poisoned dart. How was the murder committed without the killer being seen? After watching a tape of the event, over and over, he's not sure if he hasn't seen footage of the actual killing. Burke ultimately traps the killer into confessing by claiming to have found the murderer's ""lip prints"" on the murder ""weapon"".

Why would anyone kill sweet old Rosie Sunset, who sold maps to the movie stars homes? An heiress who was seen giving Rosie a ride, Rosie's neighbor (a Russian sculptor with a sexy sister, whose work mysteriously has appeared in Rosie's apartment), a neurotic, workaholic printer on the ground floor of Rosie's building, an accordion player (who suddenly disappears after being questioned), and Rosie's estranged step-son (who needed Rosie's money for his florist business) - all fall under suspicion. The solution lies in Rosie's past hospitalization and her late husband's ""hobby"".

Cowboy movie star Clayton Steele is grand marshall at the rodeo, but in the final parade, he rides into the arena, already dead, his neck broken. Burke questions his megalomaniac rival, his former stunt man, his ""Indian"" sidekick, a sexy veterinarian, and a vindictive lady bronc buster, in order to find out who sent Steele to that Great Corral in the Sky. A well-trained horse provides a vital clue. Before he can arrest the killer, Burke almost has his own neck snapped!

With Burke out of town, Tim, Les and Sgt. Ames have to discover who is responsible for the murder of a blackmailer found propped among the mannequins in a department store window. Les is intrigued by the store owner's executive secretary, Tim follows the head of ladies' fashion, a race car enthusiast, and Sgt. Ames tracks down a nightclub comic who works days as a bus driver. The owner's son and a shifty sidewalk pitchman also come under suspicion. After the man who found the victim is himself killed, a winning racetrack ticket proves the final clue to the murder.

The head of a greeting card firm was killed, but not by the arrow protruding from his body. It was slow, methodical arsenic poisoning. His flirtatious teenage assistant takes a shine to Burke, but he's afraid she may be the prime suspect. If not, there are several others to choose from: the victim's ambitious successor, the mousy psychologist and his domineering wife, or the jingle writer. Burke's intentions are misunderstood and he comes close to being a second victim. The series ends with the whole cast of regulars involved in a big musical production number (of dubious artistic merit).