There are factory fishing ships that fish (via nets) , process, and freeze, as needed, their catch. There are also containers with refrigeration units that are loaded on container ships.
Yes. A lot of the fish served in English fish and chip shops is IQF (Individually Quick Frozen), and will have been caught, filleted and blast frozen at sea.
A lot of those freight containers you see around, have refrigeration units at the front. These are sometimes electric and sometimes dual electric/diesel powered. On board ship, they are all stacked on deck and plugged in.
The vast majority of fish sold in the US is IQF (and 98% of shrimp). I remember reading much “fresh” fish sold at market is merely defrosted IQF fish. (for example, here. Often you’re better off buying the frozen product than the “fresh” as the frozen is “fresh”-er.
The popular reality TV show about crab fishing “The Deadliest Catch” shows the fishing ships offloading onto freezer ships. And “Dirty Jobs” has featured ships that fish and freeze on site a couple of times. In case you ever want to see it on TV, I mean.
Specialised reefer (refrigerated) vessels are diminishing because of the popularity of reefer containers, which have their own refrigeration machinery.
I don’t think there are any ships devoted ENTIRELY to frozen goods, but I do recall that a cargo ship featured on the discovery series Mighty Ships had a few decks that could be kept at freezer temps without any additional equipment or modification.
There are, called reeferships. They are less common than they used to be because as someone else mentioned a lot of refrigerated cargo is now carried in refrigerated containers. But reeferships haven’t totally disappeared. Smaller reeferships are still common to for example ship frozen fish from remote bases of fishing fleets (Solomons Islands for tuna and so forth) to markets, rather than have the freezer fishing vessels have to go all the way to distant markets to deliver the catch directly. But again, reefer containers have cut into this kind of shipping business a lot, though not quite as much are they have for other general cargo.
Since the OP question has been pretty much answered, might as well add that the reason the fishing boat featured in the book and movie “The Perfect Storm”, the Andrea Gail, was caught in the name-sake storm was because they were returning to port due to their refrigeration unit failing (image of the ship’s storage area from before the storm in question, of course)
Interestingly, one of the big motivations for the invention of refrigeration was the desire to be able to make freezer ships like you suggest, so as to transport meat from Australia and New Zealand to Europe without it spoiling. IIRC, the first ship to bring frozen sheep from down under to England won a big cash prize, or something along those lines.
Okay, I should have said “more than a handful of” rather than “any”, if I wanted to be strictly accurate. I was thinking in terms of large general-purpose (i.e. for a variety of refrigerated or frozen goods), bulk cargo (palletized or packed for transferrral without specialized equipment), which is what I imagine most people think (first) when they hear or talk ‘cargo ships’.
And pre-googling, I found the concept of orange juice tankers improbable, but conceivable, and incredible if true. (A tanker that can handle refrigerated food-grade liquids, including oj, sure. But not one specifically for oj) Similar to the concept of a ship that rotates 90 degrees around it’s yaw axis. (If you’re curious, it’s called the R/P FLIP).
Built for the purpose orange juice tankers do exist, as you probably did find by googling. However they are a relative curiosity. Reefer ships, ships designed to carry nothing but refrigerated (break bulk or palletized) cargo are not at all comparable. There are over 600 fairly large ones (100,000cu ft+ capacity). At one time there were many more, but refrigerated containers have reduced their market considerably.