Mammals don't need to be pregnant to lactate or, at least, they need to have been pregnant, but, after that, as long as they keep being "milked" they'll continue to lactate. I know you weren't necessarily saying otherwise, but just for clarity.
I used to work with a guy who genuinely thought all dairy cows were forcibly kept permanently pregnant in order to produce milk.
If we're just using "magic" to distribute animals then I want a Wombat who's been magically shattered to actually make a good pet and who won't burrow under the fence into my neighbour's gardens.
Domestic cats. Partly because they poop in my garden, but mostly because they're secretly planning to take over the whole world and enslave the human race.
My wife and I both grew up in the eighties/nineties and this was exactly her attitude for years. It was only when I went ahead and grew one anyway - despite her reservations - and she decided she actually likes the way I look with it and now won't let me shave it off!