This is a TV comedic series in the fashion of movies such as Airplane! and The Naked Gun.
The jokes cover a broad range of humor, from subtle to caustic to plain ridiculous.
Most of them are idioms or metaphors that the characters meant literally (like "-This case stinks. -No it's me I ate garlic."). Lots of spoofing and puns delivered in deadpan face.
Sometimes you have to really pay attention to get the meta-humor like in the 8th episode where around 4:00 the series does some very deliberate continuity goofs to mock single-camera shows where the 2 characters talking change clothes, background action and even the ...actors (by exchange them with lookalikes) from one edit-cut to the next.
If you know Brooklyn-9-9 (which by the way might share the same police precinct/stage) Angie Tribeca is 100 times more quirky and surreal.
The cast is capable but in my opinion Alfred Molina's performance is the one that stands out, in a small but funny role, playing an M.E.
There are some well known guest stars including Bill Murray and James Franco but they seem like haven't got too much (of a script) to work with.
The first 3 episodes seemed like more organized and inspired. Later the writers turned to a rhythm one-joke-every-second that might be overwhelming for most viewers.
Overall: Like the movie genre which is the inspiration for this (The Naked Gun franchise) you either love it or hate it. Personally I will keep watching.
