You can also seek out species that have multiple children per litter. If the average litter is three and you do the above, then you could end up with up to 197 individuals.
Many egg layers average quite a few eggs per clutch. That can take more micromanagement though, like setting up your food stockpiles to exclude eggs of that species and pasturing them in a room with no egg boxes for three months or so then installing them en masse, so they all have the opportunity to mate before laying eggs at the same time. Dealing with 200 goslings at once is a bit of a nightmare, but not as bad as 1500 cave crocodile hatchlings. But a few hundred cave cro cs makes a pretty intimidating defense against intruding goblins or other animals.
You can also raise multiple similar species, like sheep, alpacas, and llamas for wool and milk. Import as many species as you want, and there are already like a dozen domestic animals that can produce some combination of meat, milk and hides.
You could also trap wild animals in an enclosed area and capture/cull sections of their population periodically. Wild animals ignore the population cap and food needs, and you can even use them to train your militia by having them do the culling. You won't get products like eggs or milk, but you do technically get animal hair from butchering
Not that there are any wild animals that have wool in vanilla. I did this with giant chipmunks. Even after training them, as long as they aren't properly tamed then they'll lose their training and go wild after a few years. They might try to kill each other when some are trained and others wild though.