I think pretty much all of these are part of cozy series (except the sheriff, the reporter, and the policeman, which are more noir-ish, iirc.) "This person encounters an unreasonable number of murders if they are not the one committing them, and does not have nearly the level of ptsd they should" is just sort of the price of admission for cozies (like accepting FTL travel if you're reading space operas.)

The bit where half the time the protagonist is a doofy idiot who couldn't detect their own ass with their hands bound behind their back is a tougher issue for me, though, it's true (Also the ones that get way too into their setting and forget they are supposed have a murder-related plot annoy me; if I wanted a story about an annoying and improbably prosperous person having boring personal issues while absolutely nothing happens I would just be reading women's fiction instead.)

The cats ones are practically their own subgenre at this point, though, with all the same range of quality; my mom likes to listen to them on road trips so I have been exposed to several. This one is specifically cats in DC, which might me interesting. The sheep one sounds amazing, though. DETECTIVE SHEEP.