My previous recommendations:
So, I just finished binging all five seasons, and I think I can safely recommend this series to an audience that enjoys adult humor and series that juggle between the very funny and very serious.
BoJack Horseman is a series that starts slow and doesn't really seem to truly find itself until Season 3. I personally didn't enjoy the first half of Season 1 at all (got very bored). The second half of Season 1 got me to keep watching purely on the humor and the gags, which pretty consistently increase in quality as the show continues.
I especially got drawn in on all the "animal" gags. The series at some point early on becomes very comfortable going all out on visual&storytelling gags based on the animal playing them (BJH is an otherwise-normal universe where a significant part of the population is half-animal half-human). The humor is pretty high quality, I would easily compare it to the humor in Arrested Development (early seasons).
It is a series that makes fun of itself, without relying too much on gimmicks or breaking the fourth wall too much. With that said, Seasons 3 and 4 introduce more experimental episodes (including an entirely mute one, similar to the excellent Hush from Buffy, as well as another that only consists of a beautiful entire 22 minute monologue). None of them bored me. I was always extremely impressed with the execution and the quality.
What really gets me to recommend this series is its later seasons. Seasons 3 and 4 are of exceptionally high quality and the show becomes… very dark. But not without losing its humor. BoJack Horseman made me cry three times. I'm not talking about tearing up, I'm talking about the full waterworks like I've done only a couple of times in my entire adult life.
It's a show that punches you in the gut not by having grand romantic storylines; not by having heroic moments with epic music; not sympathetically by having manly characters tear up; not even by killing off beloved characters like Game of Thrones. It's a show that hits you because it's too fucking real.
In many ways, I would say that I enjoyed BJH for similar reasons that I enjoyed early GoT: It's unforgiving to its characters. But I don't want this to put anyone off from watching; it's a unique series to which I have a very hard time finding parallels. Its humor sits between Arrested Development, Futurama and Rick & Morty and is very much its own thing. Very reminiscent of Adult Swim.
BoJack Horseman is available on Netflix. Come for the gags, stay for your own reasons.