I still think a fox is manageable. Cat software running on dog hardware seems...interesting

Raccoons are cool. They seem to be in the early stages of self-domestication, which is probably how we got cats.

Hmm, I would say a monkey would be an obvious choice since they can manipulate objects and do all kinds of things, are also fluffy/cuddly, and there's a potential for two-way communication. Possibly an ape, though it would be bigger--maybe too big and not as cute, and it could easily kill you if things don't go well.

Red panda

I would love having a squirrel as pet. Unfortunately most squirrel types don't do well in captivity because they are too anxious. I nursed a baby squirrel once as a volunteer and it would just sleep in my shirt pocket or bra and be the cutest little thing until it was old enough to start learning to be a wild squirrel.

The Liger. It’s pretty much my favorite animal.

Red Pandas

You could have the most cuddlest creature with you.

Octopi. They're freakishy intelligent too.

Capybaras, hands down.

Foxes, Wombats, cats.

Give

Me

Giant

Pet

Salticids

Otters. They are just too damn cute.

Foxes. Like a dog, but not.
Thanks to Russia, we're already partway there.

I've always wanted an ocelot.

Maybe a large seal species. Something to ride in the water, but that could still come on land and fall asleep by the fire.

Bats. Imagine having a friendly familiar. They could also be used to carry messages.

Tapeworms. Lil' butt-buddies.

Not domestication per se, but we should teach our ape cousins how to control fire and develop technology. Ascend, my brethren! Come and join your furless kin! Reach out your hands and grasp the tools that are your salvation! Reject the weakness of your flesh!

Cats

Quokka of course.

Giraffes of course.

Silly question.

Whatever the Chihuahua version of a giraffe is.

I want a guard cassowary

Hyenas 

If you could miniaturize them I would totally take a house hippo