I use MATE. I'd like a better tv-tuner application, because that's a hole in FOSS, but I also can't stand the Kodi interface although I've have made many attempts to adopt it to my use case from back when it was XBMC. The Kodi interface is more annoying and difficult to navigate than a standard PC desktop with the font sizes bumped up used with remote keyboard/touchpad that is smaller than my remote.

Kodi is theoretically a better fit for the 10-foot display use case. It also has a bunch of features built in for dealing with video libraries, their management/filtering and so on that you won't get with a generic interface like the Gnome or KDE file browser.