I also always watched tv while drinking and now that I have stopped drinking I have stopped watching tv because it makes me think about drinking. Though, I have slowly phased in watching one episode of Game of Thrones in every week but I surround it by healthy recovery activities.
I often find myself thinking, wow, its been X days since my last slip, that means there's X days worth of new tv for me to watch and that of course makes me think about drinking... but I have noticed that those thoughts are fading as I am starting to fill my life in with other positive things, things that I would rather be doing. I actually find it difficult to watch tv now, without alcohol, for some reason most tv now seems to be boring and so slow.