I'll be honest here from the get-go: I blatantly stole this idea from @paulisadroid, who is asking the very same question, though with regard to Video Games. The question is whether you play one video game at a time, or whether you mix it up, balancing different games at once.
I figured this question is very easily translatable to the Anime community, so I stole his idea and reworked it for anime.
Same question, though! Do you watch one anime at a time, remaining faithful to that specific story, or do you watch many at once, switching between narratives and storylines and keeping track of them all?
Personally, I like to binge through a single anime at a time.
I feel like I never have enough free time (which probably isn't true) and so when I do get the chance to sit down and watch some anime, I try to watch all of that anime so I'm not caught between episodes or waiting for the new release. If I go through a season at a time, I'm okay because I have the bulk of a narrative in that.
Trying to balance anime is too much for this time in my life where I don't have the free time I'd like. I still have games to play, yknow!