When I visited Prague for the first time last summer, I had heard a lot about the low quality of their carnivore displays, and therefore, as excited as I was for my visit, I was somewhat nervous that I wouldn't enjoy it as much for that reason.
Thankfully, I found that whole narrative to be somewhat overblown. The Polar Bear enclosure is poor, no arguing with that, and I wasn't a massive fan of the all-indoor Palawan Leopard Cat enclosure either, but other than those two blemishes I was mostly very impressed by Prague's carnivoran offerings.
A few of the more noteworthy enclosures for this category:
@Kalaw - the spacious, dense and attractive red panda enclosure, fading nicely into the cliff face.
@LaughingDove - the larger of the two Polar Bear grottos, undeniably awful.
@Robaque - the large and shaded Maned Wolf enclosure.
@lintworm - one of the larger and more attractive Bush Dog enclosures that I have seen, with a pool and a sizable onshow indoor area. It is worth noting that the entire upper half of the zoo, and therefore all the carnivore enclosures found there, are enriched by the beautiful mature tree coverage, such as what is pictured above.
@Robaque - a very large North American River Otter enclosure with a nice water feature.
@Robaque - the White-nosed Coati enclosure, for me Prague's best carnivore offering. Many mature trees, dense undergrowth, and ropes to connect the trees, with all fencings well-hidden and the enclosure giving the illusion that it never ends.
@Baldur - the Siberian Tiger enclosure in Northern Forest, large and well-landscaped. From memory, the above picture shows roughly two thirds, possibly less, of their space, with the off-camera portion being even more dense.
@Maguari - a small portion of the large, grassy and shaded Eurasian Grey Wolf enclosure.
@vogelcommando - a huge Brown Hyena enclosure, one of two roughly similar-sized ones. Together, they constitute what is for me, along with the coatis, Prague's best carnivore enclosure. Again benefitting from the mature trees, as well as the abundance of offshow dens, and being larger than many enclosures for the even larger Spotted species!
@Kalaw - the two very nice Pallas' Cat cages, both of which are, rather unusually, desert-themed.
@Robaque - the Malayan Tiger enclosure in the Feline and Cat Pavilion really impressed me, with its many trees, deep pool, solid climbing apparatus and ample retreats for privacy. The nearby Sumatran one (so Prague indeed has three tiger subspecies!) is near-identical. Not amazing, but certainly not as bad as many strangely make it out to be.
@Kalaw - to be fair, this Asiatic Lion enclosure is quite mediocre as well. It isn't too bad, with only a single male, and the questionably large moat drained to increase land space, but even still I found it a little small and barren.
@Kalaw - one of three, similar-sized and all excellent small cat enclosures in the Feline and Cat Pavilion. This one houses Fishing Cat and is notable for its deep pool with underwater viewing, but the others (Geoffroy's and Amur Leopard Cats) are good too.
@Baldur - indoors for the tigers. While I do believe the outdoors are very good, the indoors for all cat species in the Feline and Reptile Pavilion are far less pleasant, very barren and unattractive. That said, with a series of interconnected stalls, space and separation options are catered for, and I wouldn't be surprised if most such big cat indoor enclosures in Europe are similar, just offshow.
@Maguari - an aerial view of the large and hilly Cheetah enclosure. Great for the animals, but viewing is a little limited at just one end of the enclosure, with the massive hill allowing the cheetahs to easily retreat from the animals. As such, an aerial view is needed to appreciate the size of the enclosure. The cheetahs also have additional offshow enclosures near the Northern Forest.
@Kalaw - a very large and deep Cape Fur Seal pool, although not the best-looking.
Overall, I found Prague's carnivore enclosures to be of a very high standard, and if it wasn't for the Polar Bears weighing them down it would probably be amongst the highest standards I have seen, and for the largest collection of carnivore taxa at a non-specialist zoo in Europe at that. Not to mention the added charm of the displays from the use of natural materials and in particular the abundance of mature trees. There are offshow breeding complexes for species such as cheetahs and Amur Leopards, which as I understand it are not currently used for breeding, but still provide extensive separation options. And as
@Philipine eagle has already described, Prague's collection isn't just bigger, it is more interesting. Brown Hyenas alone deserve a point, never mind NARO, Honey Badgers, Palawan Leopard Cats, Tayras, Cape Fur Seals and three subspecies of tiger!
I don't know too much about Budapest, but from what I can tell from the gallery, the average standard of exhibitry there for carnivores is considerably lower than it is at Prague, with the distinction that Budapest lacks a single enclosure as atrocious as Prague's Polar Bear grotto, but even then I'm not sure. The sea lion and bear enclosures look very bad, and I am not convinced either by what seems to be a very small and cramped mongoose enclosure, or the small water source in the Giant Otter enclosure - granted, both of the latter inferences could be illusions from the photos. For just about every species which both zoos keep (lions, tigers, Pallas' cats, etc) Prague's enclosure seems to be far superior. It's all subjective, of course, but I personally don't see why a zoo of 35 carnivore taxa becomes a mediocre zoo for carnivores when one of them is held in poor accommodation and the rest of them are displayed excellently.
4-1 Prague for now, but if someone can convince me that Budapest is worthy of two points I am more than happy to change.