I'll make this one short. We have two tags tv-shows and tv-series.
As Tyler Shads pointed out in his meta post there are valid uses for tv-shows.
However I don't think we need to distinguish between tv-show and tv-series in that case, mostly because there are not that many questions regarding tv-shows that are not series and still fit into the scope of this site.
I suggest that they should both be joined under the main name: tv-shows