Honestly I think the only dry "British" ale yeast is S-04. There is a Munton's dry ale yeast that I assume is English and I used it many, many times when I was a new brewer but have not used it since. There was also a dry ale yeast with the brand name of Edme... is that still around? Same thing... an English dry ale yeast but whether that's Fuller's strain... probably very remote.
None of the homebrew yeasts are like the real Fuller's production yeast - the real thing has an orange-marmalade character that you just don't get in typical homebrew yeasts - except apparently Imperial A09 Pub and maybe the Omega one (OYL-016 ?) But WLP002 and 1968 are not the same as Fuller's yeast. Maybe they did originate there and they've mutated into something blander, maybe they never saw Chiswick in their life, I don't know. You do need a yeast with character for British styles, and 002/1968 are a bit boring.
If you want Fuller's yeast, get it from the source - harvest it from cask or one of their bottle-conditioned beers like 1845 and IPA/Bengal Lancer. And if you want the actual Fuller's recipes direct from the source, see this thread on HBT
, there's a homebrew version of ESB in post 42
. Note that although I'd say the Fuller's partigyle is definitely at the high-crystal end of the British spectrum, they're only using 7.2% light crystal - nothing like the heavy-handed use of crystal you see in some US recipes for bitter.
EDME should be capitalised, it stands for the English Diastatic Malt Extract Company. They were a major supplier of homebrew kits in the 1970s/80s, but got out of that business in the ?1990s?. So their yeast was popular just because it was easy to get hold of and it appears to be the ancestor of the Munton/S-33/Windsor family, I'd guess the master cultures would probably have ended up at Munton if anybody. One has to assume that Mangrove Jack M15 is a repacked version of one of them. I only know Windsor - it's a classic example of a yeast that drops well but doesn't flocculate, so you can have a clear beer with a yeast cake that puffs up at the slightest disturbance. But it's pretty common here to add a bit of Nottingham or S-04 after 48 hours to help stick it down.
Lallemand London/ESB is apparently from the same multistrain as Windsor and seems to be a blander version of Windsor and a bit pointless in my eyes - a bit like Munich versus Munich Classic only without the option to rebrand it as a wit yeast.
Scarry how close Windsor, S-33, London Ale, and Muntons sit to common bread yeast. OTOH, Nottingham and S-04 appear among true UK Ale yeasts per Suregork's chart.
They're close to T-58 and BRY-97 as well - what's your point? Yeast doesn't know what it's meant to be for, historically the same yeast would have been used for beer, bread and distilling - in fact beer is a useful way to grow up yeast for use in bread. (I actually have a starter of bread yeast going at the moment, since the hoarders have bought all the yeast in the shops). The fact that one particular strain has become so dominant in US bread is a quirk of history that says more about the commercial structure of the bread industry than its qualities as a bread yeast. I've not had the chance to compare the two but it sounds like the typical US bread yeast is different to the main UK supermarket bread yeast, which actually behaves quite well in beer IME.