One of my dream pets has always been a cheetah. Also would love to have a red fox. Of course they are wild animals and I do believe they belong in the wild, but that's why it's a dream. I would love to get one of the Russian foxes that have been raised to like people for 50+ years now. I think I would much rather have one of them than a wild fox...
As far as domestic animals... I love horses and own two of them, but I do have a dream breed - the Akhal-Teke. I have been in love with them since I first saw a picture of one when I was younger. I think they are gorgeous and I would really love to have one of them someday. My other dream horse breed was the Spanish Mustang, but I had one already and have another one now.

My dream dog has always been the Greyhound (ok, what is it with me and lean animals... cheetah, Akhal-Teke, and Greyhounds are all long and lanky.. lol). I've owned two Greyhounds in my life and I really want to get another one someday.
I think that's about it. I love all animals, there are so many cool ones in the world, both wild and domestic.
My Current Dream Pet:
The white Arabian from the 2011 store pets
(picture won't work suddenly - I'll try again later)
I'm also looking for ANY of the Egypt Event pets, I missed that event.

Especially the horses. (drool)
I have over 500 pets in my FOR TRADE groups - take a look!

I also have a TON of pets on my wishlist... haha.