From a pure elasmobranch enthusiast perspective (I don’t necessarily want to call myself an expert but this is my field of study), bull shark captivity is about as interesting a topic as there is. They’re basically just massive and specialized reef sharks, evolutionarily speaking, which is possibly in large part why they do really really well in captivity (40 years for
any shark species is
wild). They’re extremely hardy and can thrive in absolutely horrible conditions in the wild, so human care is probably like living in paradise to them!
So that begs the question, why aren’t there more in captivity? I think quite frankly the answer falls to exhibit design and compatibility. They’re
really aggressive, as I’m sure everyone here knows, and thus it may be difficult to exhibit them with other animals, which makes for a boring tank. But even in the wild that’s been known to be mitigated by the provision of constant sources of food. In the Bahamas the recorded number of bull shark attacks is absolutely minuscule, and they’ve even allegedly been seen resting on the ocean floor. A few different scientists have theorized that because the waters there are so rich in possible prey items, their aggression towards other living creatures (i.e. people) is decreased because they’re constantly satiated. This has been tested, apparently, at Okinawa - I read as a kid that their strategy to keeping bull sharks and tiger sharks in the same Shark Research Center exhibit was just feeding them both extremely well! So I suppose the way to handle it would be to feed them
significantly more than their tank mates - many aquariums feed their sharks bi-weekly or even weekly, so you just don’t do that for bull sharks. Then theoretically you could exhibit them with other sharks, rays and fish with little to no problems. Perhaps the cost of food could become prohibitive but maybe you just have the one bull shark like SeaWorld Gulf Coast, lol.
Also, to add a little to the actual question of what aquaria have them, the National Aquarium in Abu Dhabi has juvenile bull sharks as a centerpiece of their freshwater exhibit. The tank is astonishing as it’s not even close to the biggest one in that facility. Wild stuff!