Interesting OP! Last night I got the raging arse because DH is never bloody interested in watching bloody anything and for some reason it irritates the shit out of me. 
Similarly to you, he can't (or doesn't want to) concentrate on anything that involves more than the simplest of story lines, like a crime show or a drama, as he tends to just fall asleep. Yet we've watched all 8 seasons of Game of Thrones through - THREE TIMES. We wouldn't dream of one of us continuing without the other!
I've tried to get him interested in Breaking Bad, Ozark, Killing Eve, Line of Duty...loads of really interesting and well-acted dramas, which is surely a better after dinner activity than mindlessly staring at a phone and falling asleep at 7.30pm, or watching endless re-runs of favourite comedies (I love them, but sometimes I want something engaging).
From my perspective, it's something we can do and enjoy together. I would dearly love to be able to discuss plotlines and actors but I know he'd rather not so I'm not expecting any chat, I try to keep quiet. But still, no joy.
Last night he made all the right noises about wanting to look at something I thought would be right up his street, then promptly went and sat at the dining table and started surfing on his phone. I mean, just don't fucking bother then, we'll leave some absolute shite on live TV and both stare at our phones until he falls asleep on the sofa, and I'll go to bed and watch something on my tablet alone! It seems such a criminal waste that of all the hundreds and hundreds of available streaming boxsets that exist, and of all the insomniac hours he spends watching stuff online in the early hours, there is not one thing he would like to watch with his wife. 
I am due a review of my HRT though, hence I'm getting murderous rage at the slightest thing...