We've kept a couple of jellyfish species at work, nowadays only Cassiopea sp(upside down) because of time limitations.
It's my colleague who did most of the work with them, but we work a lot together(small public aquarium) so I think I've pick up some husbandry knowledge as well :)
Among public aquariums the jellyfish tanks seems to be popular, but I also know some who stopped because of the work and time it requires. We for example had 3 or 4 species going at the same time at one moment, and that was a lot of work(even if they weren't very large or super clean tanks).
All tanks I've seen is jellyfish only(no rock, no other animals etc). Except for Cassiopea sp of course, they can survive and thrive in a low flow tank with corals and fish(we have a tank like that now).
Another thing is most of the public aquariums I know of who keeps jellyfish either breed them or are located next to the ocean and collects. Jellyfish don't live that long(maybe around one year if they are in a large tank and are healthy). So that's why many are breeding them and replacing the ones in the display now and then.
I haven't seen many hobbyists that keeps jellyfish. I think it's because it takes a lot of work to keep the jellyfish healthy(hatching artemia, breeding rotifers etc) and to keep the tank and water in good condition.
The jellyfish can die and disappear in a day if they are unhappy, they can get misshaped if they get the wrong food or flow, and so on. It takes some reading and good husbandry to get a good looking jellyqarium :)
There is a great book I recommend if you are interested in keeping jellyfish. Check out "How to keep Jellyfish in aquariums " by Chad L Widmer.
/ David