I'm current with the Blacklist but it's not as good as it was IMO. Started out strong but kind of petered out in the later seasons. I suppose that happens to a lot of shows.
Mom is another one I've watched which I thought was good too. Comedy with some seriousness at times (deals with addiction). It's kind of strange, I liked the show but not one of the main characters. (the daughter).
As far as binging, some shows I'm current with the week to week release and others I watch way after its release. Both ways are fine for me but it is nice sometimes to have that little backlog of shows so you can progress further through a storyline without waiting as long. I also flip around between shows too. I don't always watch just one show all the way through, get some variety. Attorney Woo one day, HOTD the next can't get more different than that lol.