Seed Guardians

The Heritage Seed Library  (HSL) have Seed Guardians who grow a rare seed/plant specifically for seed saving - returning the seeds to the HSL  for its Seed Library and distribution to members.
There's a French organisation https://gardiensdesemences.com/seedguardians which is similar but there is more involvement with shops and restaurants to suggest varieties and sell the produce. 
Worth looking at this website as it lists the seeds chosen each year - some I recognise, many I don't but feel I would like to grow.

Some of the HSL seeds are named after the original grower or location - like Uncle Fred's Runner bean or Nameless Allotment lettuce!

My question is - do any of you grow and save seeds from the same plant every year because its a family heirloom or one that you've grown for many years that will have adapted to suit your growing conditions?

The short answer is no.
I’ve only really started to understand the seed saving thing, since I’ve been hanging around with you lot.
And this is only my second/ third year of actually putting some effort into saving seeds.
I’m going to be having a look at that link later and the HSL because I’ve never really looked at that either.

errr, no. Don't often save seeds, and if I do I either loose them or leave the in the hot shed and they die. Not very successful on that front. I might get better but nowhere near good enough for 'organisations',

I wasn't really thinking of "organisations" - just us.
How nice it would be to share amongst us our own favourites that we grow every year.

I'm attempting seed saving for the first time this year, broad beans

Only my runner beans, I got the original seed from my father's and he from his father before him but, I don't know if they go any further back than that. So at a rough guess at least 80 years of growing and possibly more.

I used to be a member a long time ago, still have my copy of "Fighting like Flowers" I bought on a birthday day trip there many years ago