I think most of the freshwater fishes imported into the UK are farm bred.
If talking about most of the 'standard species' that are sold in huge quantities like freshwater angelfish, yes farm bred, typically in Singapore, Malaysia, Thailand or Indonesia. 'Medium quantity fish' like some species of Corydoras and many Malawi cichlids are often captive bred by private breeders or small-scale professional breeders in the near-region (for Britain, within Britain itself or in other European countries). But many fish species that only sell in smaller quantities are wild caught. New varieties of cichlids enter the British aquarium market regularly and these are typically wild caught. Most Loricariidae catfish species have rarely, if ever, been captive bred and are typically wild caught (there are exceptions, but only involving a handful of species). Sadly some of the red line torpedo barb seen in the aquarium trade are wild caught, despite attemps of various aquarium organisations to convinced shops to
only sell captive bred of this threatened species.
Reptiles, amphibians and non-parrot birds can be compared to freshwater fish in this respect. Have people wondered why smaller non-parrot South American birds kept in zoos mostly are species that are common in the Guianas region? That's because Guyana and Suriname, two of the smallest countries in South America, are the primary exporters of South American wildlife. Sure, tanagers, cotingas and trogons have been bred in captivity, but not with any regularity and in small quantities. In these groups, only some Thraupis (e.g. blue-gray tanager) and Ramphocelus (e.g. Brazilian tanager) are bred regularly in relatively large quantities. Even among parrots relatively large quantities are exported every year. I am not talking about the horrible tube packed parrots that we all have seen on photos (these are illegal, obviously, and attemps of hiding them from customs), but legal exports in cages under controlled conditions. Some are allowed to be exported under CITES each year and many of these originate from the wild. For example 4000 African gray parrots from D.R. Congo, several thousand of a wide range of parrot species from Guyana and Suriname, and in total thousands from various other countries in 2011 alone:
CITES Export quotas. Additionally, only a relatively small number of species are listed by CITES. Most are not listed at all. Let's say I captured a wild ethiopian wolf and a spoon-billed sandpiper, both for export to some rich animal collector. There are local laws that would prohibit this, but nothing in CITES would prevent it because neither of these very rare species are listed. Here is the complete
CITES list. CITES is mostly useful for famous animals and many CITES decisions are more about
politics than the actual status of the animal. Imports of wild caught birds has now been greatly limited in EU and USA, but mainly because of local rules (some implemented in connection to the 2006 bird flu scare), not CITES. Most fish, reptile and amphibian species can be imported to EU without any legal limits, as long as they adhere to quarantine rules.
But to get back on subject of wild caught animals in zoos,
this is still the case, as already has been noted by a few other posters. Actual collecting trips by zoos are almost completely a thing of the past. Not because wild caught animals have disappeared completely from zoos (except almost entirely in mammals), but because professional local companies that specialise in catching, legal requirements and exporting do the job. That's probably better than zoos trying to do it themselves. Zookeepers might know how to care for the animal in captivity, but generally they're unlikely to have much experiance with safely catching it in the wild, whether it is a cotinga (bird) that lives in the forest canopy or a sawfish. That is, of course, only if people accept wild caught happens at all, but you'll be hard pressed to find any public aquarium or a zoo with large collection of reptiles, amphibians, fish or birds without any wild caught. My general feeling about this is reflected in the last part of the post under the "this is still the case" link.