Posting this info here for reference.
Some of the most popular non-canon consanguineous ships on TV seem to be:
- Sam/Dean – Supernatural
- Stefan/Damon – The Vampire Diaries
- Sherlock/Mycroft – BBC Sherlock
- Harry Potter (several different ships)
And the most popular canon ship is obviously Jaime/Cersei from Game of Thrones.
Some TV shows with at least “not-that-bad” portrayals of consanguinamory are:
- Game of Thrones
- The Borgias
- Another Period
- Flesh and Bone
- Bates Motel
- Hemlock Grove
- Boardwalk Empire
- The White Queen
Finally, there’s this Wiki page where many incestuous relationships in the media are covered.