I'm 53 and my little "puppy" from my 1st grade Kris Kringle is still in my bedside drawer (not in my bed because he'd fall apart)
I wonder if the issue might be the number of stuffed animals. That used to be the case with my DDs. There are a couple of things that help with the amount. First, (depending on the age of the kid), you tell them you are donating them to kids who don't have any. That way they don't imagine them going into the trash.
Secondly, regardless of age, the way to get them to pare down ANYTHING (clothes, etc) is to ask them to put them in a pile and choose X amount to keep. The way NOT to do it is to put them in a pile and choose X amount to get rid of. (Here's an analogy: It's easier to call up your good friends and tell them how you'd love to get together, than to call and tell your acquaintances that you're done with them)