I enjoyed HOC, especially the earlier seasons. A few shows (none of them new though) available on Netflix that I found equivalently good, each got better as they went:
Bloodline[0] - starts slow & builds, I didn't expect to like it as much as I did. Very under the radar, very good.
The OA[1] - similar to bloodline, in that I didn't expect to like it & it got better with each episode/season as the story progressed.
Colony[2] - got cancelled so ends on on cliff-hanger (an exhilarating one), but if you like sci-fi/aliens it'll deliver.
[0] https://www.imdb.com/title/tt3520702/
If you get into it, Netflix also carries a bunch of good Korean dramas, which tend to have a lot of episodes and honestly just seem to have much more effort put into them than most American TV. Signal and Itaewon Class are two of my current favorites.
As for designated survivor it was a nice copy of house of cards, but lacked the level of storytelling that went into house of cards.
Had I written what OP said, I would be clarifying that I mean "pushing personal politics via messaging in the show." HoC is remarkably a-political in that respect. They portray the power struggles and corruption fairly equally across the board regardless of party affiliation. More so than party though is simply they show how hollow the beliefs really are. It's about power and manipulation, not so much about policy. Of course such wide statements are nearly guaranteed to be wrong applied to some politicians, but as someone who has been all over the map politically throughout my life, they absolutely nail the main themes that I've noticed nearly everywhere.
At the same time while youtube offline video watching always works for me on my iPad Pro, Netflix often ,,forgets'' the downloaded content.
If I look at the storytelling/direction itself though, I find HBO better than Netflix (especially with politics ruining the stories). Can somebody tell me a new Netflix serie that comes close to House of Cards?