Well, most shows aren't on all the time, except soaps I suppose, and the News? There's a terrific show on now, so funny, Dogs Behaving Very Badly (C5 - Tuesdays) which non dog owners can appreciate, and dog owners should watch too?!
Like someone else we watch the BBC quizzes on Mondays, Only Connect (the lift if we can answer a question!) and University Challenge, which has been heavily dumbed down from what it once was, we can now sometimes answer a question that the bright young things don't know, or we're at least quicker! We like any of the Place in the Sun shows, though it's not a regular date, just if we catch one, though I doubt we'll be going to live in Portugal or Italy due to medical issues!
I can recommend the Talking Pictures channel, (TV and films from yesteryear) on Virgin, Freeview, Freesat, Youview, or 'Sky Digital'. Lots of reminders of lost youth, they've just started some Dixon of Dock Green (a few very grainy episodes weren't lost), we see Rumpole of the Bailey, the original Maigret (Rupert Davies), and a french Maigret, made in the 90s, has subtitles but they're OK, and if you know a bit of French it's good fun picking out a few words.
And they do a fun show on Sundays, Footage Detectives, with little films sent in by viewers, questions about series or stars, or general appeals for help, They've got Worzel Gummidge showing if you like, The Brothers, Public Eye and more oldies to stir some memories. And on Sat mornings they show some stuff actually from those Sat morning cinema shows for kids!