For those with long memories, Angie Tribeca is a child of Police Squad!, the short-lived series the led to the Naked Gun movies. It is stupid and silly, and you'll know after watching two minutes of any episode whether Angie Tribeca is your cup of tea. Season Four brings the total number of episodes up to 40, which is 34 more than Police Squad! ever got (although Angie hasn't gotten any feature-length movies yet).
The easiest thing for me to do is offer a couple of lists. Consider them a consumer guide ... if they sound funny to you, watch the show (it's on TBS, with the first three seasons on Hulu).
First list: some character names from the first three seasons.
Detective Jason "Jay" Geils. Lieutenant Pritikin Atkins. Dr. Scholls. Sgt Eddie Pepper. Mayor, then Vice-President Joe Perry and his wife, Katy. Diane Duran. Angie's mom Peggy, played by Peggy Lipton. Pierre Cardin. Jean Naté. Fisher Price. Special Agent Laurie Partridge. Samantha Stevens. Dr. Moreau. Betty Crocker.
Angie Tribeca has also managed to corral an amazing list of guest appearances (this list is far from complete):
Alfred Molina, James Franco, Heather Graham, Lisa Kudrow, Bill Murray, Gene Simmons, Aaron Carter, Joe Jonas, Michelle Dockery, Natalie Portman, Lizzy Caplan. Season Four added such actors as Anjelica Huston, Rose Byrne, Gina Torres, Carl Reiner, Kathryn Hahn, and Carol Burnett as the President of the United States.
And I haven't mentioned Jagger as Hoffman, a crucial member of the team. Jagger is a dog, as is Hoffman.
Meanwhile, Bobby Cannavale joined the cast as Angie's son Angela Geils, Jr. At the beginning of the season, Angie is getting out after spending 20 years in jail for murdering Angie Tribeca (I told you it was silly). When she emerges from jail, she looks the same, as do all her workmates. Cannavale is her son, and by the plot would appear to be around 22 years old, but neither he nor Rashida Jones wear any makeup to help them look different ages. There was the episode "Freezing Cold Prestige Drama" that parodied Fargo, and one called "Irrational Treasures" (I'll let you guess which movie that one takes on).
Hoffman may be the best joke the show has. Because it's the same joke every time ... a dog is doing police work ... and somehow it's as funny at the end of Season Four as it was at the beginning of Season One.