Dormice are generally still very much localized, e.g. they are often kept in a few specific countries (in the case of hazel & garden dormouse often linked to local re-introduction efforts)
I think a thread exists where you can read all about that:
Species gaining popularity
European souslik - Spermophilus citellus
While black-tailed prairie dogs are still by far the most commonly kept squirrel in captivity, their European lookalike has been making some small inroads this century. As a small, active and endangered European rodent it has gained some attention from zoos. It is most commonly kept in Central European zoos, which often take part in local reintroduction projects. The species can be kept as semi-wild colonies on zoo grounds as Tiergarten Nuremberg and Zoo Prague show. But they also make good display animals when kept in large groups, the downside is that they hibernate, so the enclosure is empty for half of the year.
@robreintjes A free ranging European ground squirrel in Zoo Prague
On the other hand the European hamster (Cricetus cricetus) is getting some renewed attention in recent years because of its critically endangered status. Multiple zoos have long been involved in captive breeding for reintroduction projects, but this remains a scarce species.
@lintworm Now listed as CR, this species is getting attention from zoos, though the wild Vienna populations are the craze of the day
Besancon does have a good native rodent collection, though it used to be better and works with European hamsters harvest mice for re-introduction, Mulhouse isn't currently keeping any native rodents as far as I am aware.
so just in short: