Talking of ten minute fillers, there used to be a slot at about half six on a Sunday where BBC One used to show " informative " programmes relating to health / safety. Unfortunately two of them are Saville programmes ( Play It Safe / Mind How You Go ) but there were also another couple, That's The Limit, about drinking, presented by Derek Griffiths and Feeling Great! presented by Roy Castle. The latter was extended to half an hour I think and called Looking Good Feeling Great ( or similar ).
That slot carried on for ages, well into the nineties, it was usually at 6.15 on Sundays, and more or less stayed there until the God Slot was axed at the end of 1992 and Songs of Praise started shuffling around all over the place. There were lots of adult education series in that slot, there was one on numeracy called A Way With Numbers with Carol Vorderman, Weather Watch about meteorology and one about communication called OK2 Talk Feelings which I remember loads of people slagging off on Points of View for being totally unintelligible.
Actually while we're talking about the Sunday teatime slot, I remember watching this one-off in 1992, The Health Show.
http://genome.ch.bbc.co.uk/schedules/bbcone/london/1992-04-26#at-18.15
As you can see, it was a ninety minute special with Tel and Jakki Brambles which was a big studio-based extravaganza with guests and quizzes and bands, which I assumed was a pilot for a series but it never came back. I remember being absolutely amazed by at it at the time because, as you can see, it moved Songs of Praise and that was still the era when Songs of Praise had to be broadcast at 6.40 by law except in exceptional circumstances, which presumably this was. It's the only time I can remember it being moved for a non-sporting event.
There’s a BBC produced filler that still appears on the UKTV channels when they need to make up time before the next programme starts, with TV bloopers. It’s quite old now as it’s in 4:3
This reminds me that there used to be a programme the Beeb used as a filler called Miss Takes...
http://genome.ch.bbc.co.uk/search/0/20?order=asc&q=%22miss+takes%22#search
These were ten minute compilations of out-takes from various sources (Auntie's Bloomers, Golden Egg Awards, Christmas tapes), some of which were very old and familiar and some I'd never seen before, and they were linked by John Pitman in front of a CSO backdrop. I remember they were copyright BBC International Sales or something in that style, presumably compiled expressly to showcase the archive to other broadcasters.