Cita: "Jarcek"This should be the solution. Face value sorting should also be still the same.

Numista also remembers the last sorting you selected and uses it afterwards, until you change again.
As far as I'm concerned, this option (which, by the way, I would not have even thought to look for until you pointed it out, and even then it was not immediately obvious) does not qualify as a solution until and unless a usable search option (and the face value one is probably the most usable in the vast majority of contexts) becomes the
default. I don't want to have to manually fix my sorting each time I enter a new browser session to avoid it going back to an unmanageable version.
Coins from Roman provinces are particularly badly affected: what used to be a nice division by area, with a few leftovers, is now a ridiculous and unintelligible mess (there are no ruling authorities in Roman provinces, nor are there likely to be any there anytime soon, because it's a nontrivial question what they even
should be).
...on second thought, "vast majority of contexts" might have been overstating it a little. IIRC there are a few places where approximately every ruler introduced their own face values, all in the same currency over centuries;
those would be easier to sort by ruling authority, because otherwise it's all meshed up together. France is close to this situation, which might explain it being the apparent current default setting.
Alternately, and somewhat more commonly, you can have a situation like the Chinese Empire or the Tsardom of Russia - or indeed many medieval European places (including, again, France) - where approximately all the coins have just
one face value (cash, kopek, and denier respectively), so sorting by face value would just mean sorting by date anyway, except the rare coins that happen to have a different face value would be shunted to the beginning or the end of the list; in which case a sorting by ruling authority would, at least, not make things
worse.
OTOH, many
modern countries have multiple currencies and no ruling authorities because it's all just the one republic, and/or the ruling authority change does not correspond with any currency change. So searching for anything specific in there would get weird.
Also, more importantly, currency listings used to have
useful information, on the correspondence of the currency's subdivisions (
especially valuable for medieval places). In a sorting by ruling authority, those important facts disappear entirely; you can't actually see how many reales there are in an escudo (16, by the way)
anywhere at all (...except as side-notes on individual coin pages, I guess; and if that denomination was not issued in coin form, such as the English pound, good luck) unless you sort by face value.