Im always changing what I watch. I have two tvs setup in my living room. I tend to game on one and rewatch series on the other. Most recently rewatched Psych, Chuck, Married With Children, Lucifer and Eastbound and Down. Psych and MWC get regularly rewatched. Likewise That 70s Show and The Office. Also while unpopular The Big Bang Theory has gotten a couple rewatches
Il often pause games when it comes up to parts I love. Or even switch them off completely when that happens. Or if i need to cook or do stuff for the kids. I just put same image on both screens for that.
If it's a new series or one that requires more focus to catch things I might have missed I watch them with no distractions. But i have a lot of simpler shows I enjoy purely due to how little attention they need and I can play games or watch sports at the same time. I feel I have so little free time between work and kids this is the best way to make it up.