I think your Dh is the more unreasonable. Not because you end up watching his choice of film, but because he gives you a hard time for not enjoying it.
I think when you watch a film together you need to make it clearer that it’s not your choice. I had an ex who didn’t seem to be able to ‘hear’ what I was telling him too, so I know what that’s like.
You could take turns in watching your preference. I don’t like rom coms or macho films. Rather than looking for a genre you both like, can you look for films that have very high review scores? I personally find that a really good film, good script, acting, dialogue etc, can transcend its genre.
I actually watched American Gangster last night. It’s subject matter would not normally be to my taste, but it has a higher rating than most films. A film I loved was The Power of the Dog, it would normally be described as a western, but that is just the setting for a story which is both a little psychological but also about a woman finding love.
I would also advise staying off your phone entirely for say the first twenty minutes. It’s too easy to get distracted and it actually stops you getting involved in the film and giving it your best shot.
The algorithms on places like Netflix etc, work on giving you more of the same. You have to work hard to spot the gems amongst the dross. I don’t think the ratings on their websites are accurate, so I tend to look at Rotten Tomatoes or it’s Wikipedia page.
Perhaps use this as an opportunity for you both to get out of your comfort zone and search out those really good and thought provoking films.
Im sorry my post is so long. It’s the same with books, there so much out there it’s worth hunting out the best.
And I get what your Dh is about. There’s something lovely about watching a film together that you both enjoy. It will bring you closer.