The attraction to fur/furry things/furry animals/etc is a documented fetish. Do some searches.
I wouldn't say normal, but certainlly not unique.

I'm not so worried about your fetish because a little fetishism can be fun as long as it doesn't hurt anyone. You are actually considering beastiality and that's something completely different than masturbating over some pictures. Animals are like children in a way and can't consent to what you are doing to them so I urge you to seriously think about this before you rape an animal just to satisfy your sexual needs. Would you rape a child or a mentally retarded person? I don't think there is anything wrong with your fetish, but people who practice beastiality are going way over the line. Have you considered consentual sex with a human dressed in fur (fake or real) or wearing ears and a tail? This is a much better outlet for your sexual desires than raping an animal. If you think that you can't find a human willing to do this then you are wrong. Will it be your next door neighbor or the cute girl at the local diner? Probably not. So take the time to research the internet and it won't be long until you hook up with people who share your fetish and will be willing to experiment and participate in your fantasies. Until then stick with the furry hentai. Beastiality is definitely NOT normal or acceptable behavior!

www.furcadia.com

Welcome home, friend.

Just because it's normal doesn't mean you're supposed to fucking do it.