I know I'm going to lose my INTP-id card on this one, I just know it...
I only have one stuffed "animal" now -- and it's actually not an animal, it's Leonardo da Vinci. And he's in a box somewhere.
But when I was a kid I had probably 10-15 stuffed animals, some of them odd or quirky. (For example, one was a T-Rex I sewed together myself for a home ec elective class.)
Worse, I was very ritualized in how I set them up. I had a wall on either side of me, going to bed, and each animal had its assigned position, and there was even one that slept on my stomach. And if I didn't set them up the right way, I got a little anxious. They weren't "alive" to me, but I definitely was attached to each one of them in a personal way -- they just evoked something.
I eventually fell out of it and no longer needed the animals. Although I enjoyed buying them for people. And at college, I even had a few stuffed Opus's that I never slept with but just had around for comic relief.
My kids went through the stuffed animal stage too. The eldest (now 12) has fallen out of it; he used to love beanie babies, and now he's much more interested in bionicles. The two younger ones still love their stuffed animals.